#ifndef CONSTANTES
#define CONSTANTES

#include <math.h>

#define NB_DEGRES            1

#define _N                   8176 // Nombre de Variables
#define _K                   1022 // Nombre de Checks   
#define _M                   32704 // Nombre de Messages 

#define NOEUD   _N
#define MESSAGE _M

#define NmoinsK     (_N-_K)

#define DEG_1                32

#define DEG_1_COMPUTATIONS   1022

#define NB_ITERATIONS        20
#define NB_BITS_VARIABLES    8 //8
#define NB_BITS_MESSAGES     6 //6
#define SAT_POS_VAR  ( (0x0001<<(NB_BITS_VARIABLES-1))-1)
#define SAT_NEG_VAR  (-(0x0001<<(NB_BITS_VARIABLES-1))+1)
#define SAT_POS_MSG  ( (0x0001<<(NB_BITS_MESSAGES -1))-1)
#define SAT_NEG_MSG  (-(0x0001<<(NB_BITS_MESSAGES -1))+1)

//static float  beta         = 0.15;
//static int    FACTEUR_BETA = (0x0001<<(NB_BITS_MESSAGES/2));
//static int    BETA_FIX; // = ((int)(FACTEUR_BETA*beta))

#endif


#ifndef _PosNoeudsVariable_
#define _PosNoeudsVariable_
const unsigned short PosNoeudsVariable[32704] ={
/* msg =      0, deg = 32 */      0,    176,    523,    750,   1022,   1374,   1557,   1964,   2044,   2436,   2706,   2964,   3066,   3417,   3586,   3936,   4088,   4395,   4652,   4928,   5110,   5317,   5639,   5902,   6132,   6531,   6845,   7100,   7154,   7401,   7701,   7926, 
/* msg =      1, deg = 32 */      1,    177,    524,    751,   1023,   1375,   1558,   1965,   2045,   2437,   2707,   2965,   3067,   3418,   3587,   3937,   4089,   4396,   4653,   4929,   5111,   5318,   5640,   5903,   6133,   6532,   6846,   7101,   7155,   7402,   7702,   7927, 
/* msg =      2, deg = 32 */      2,    178,    525,    752,   1024,   1376,   1559,   1966,   2046,   2438,   2708,   2966,   3068,   3419,   3588,   3938,   4090,   4397,   4654,   4930,   5112,   5319,   5641,   5904,   6134,   6533,   6847,   7102,   7156,   7403,   7703,   7928, 
/* msg =      3, deg = 32 */      3,    179,    526,    753,   1025,   1377,   1560,   1967,   2047,   2439,   2709,   2967,   3069,   3420,   3589,   3939,   4091,   4398,   4655,   4931,   5113,   5320,   5642,   5905,   6135,   6534,   6848,   7103,   7157,   7404,   7704,   7929, 
/* msg =      4, deg = 32 */      4,    180,    527,    754,   1026,   1378,   1561,   1968,   2048,   2440,   2710,   2968,   3070,   3421,   3590,   3940,   4092,   4399,   4656,   4932,   5114,   5321,   5643,   5906,   6136,   6535,   6849,   7104,   7158,   7405,   7705,   7930, 
/* msg =      5, deg = 32 */      5,    181,    528,    755,   1027,   1379,   1562,   1969,   2049,   2441,   2711,   2969,   3071,   3422,   3591,   3941,   4093,   4400,   4657,   4933,   5115,   5322,   5644,   5907,   6137,   6536,   6850,   7105,   7159,   7406,   7706,   7931, 
/* msg =      6, deg = 32 */      6,    182,    529,    756,   1028,   1380,   1563,   1970,   2050,   2442,   2712,   2970,   3072,   3423,   3592,   3942,   4094,   4401,   4658,   4934,   5116,   5323,   5645,   5908,   6138,   6537,   6851,   7106,   7160,   7407,   7707,   7932, 
/* msg =      7, deg = 32 */      7,    183,    530,    757,   1029,   1381,   1564,   1971,   2051,   2443,   2713,   2971,   3073,   3424,   3593,   3943,   4095,   4402,   4659,   4935,   5117,   5324,   5646,   5909,   6139,   6538,   6852,   7107,   7161,   7408,   7708,   7933, 
/* msg =      8, deg = 32 */      8,    184,    531,    758,   1030,   1382,   1565,   1972,   2052,   2444,   2714,   2972,   3074,   3425,   3594,   3944,   4096,   4403,   4660,   4936,   5118,   5325,   5647,   5910,   6140,   6539,   6853,   7108,   7162,   7409,   7709,   7934, 
/* msg =      9, deg = 32 */      9,    185,    532,    759,   1031,   1383,   1566,   1973,   2053,   2445,   2715,   2973,   3075,   3426,   3595,   3945,   4097,   4404,   4661,   4937,   5119,   5326,   5648,   5911,   6141,   6540,   6854,   7109,   7163,   7410,   7710,   7935, 
/* msg =     10, deg = 32 */     10,    186,    533,    760,   1032,   1384,   1567,   1974,   2054,   2446,   2716,   2974,   3076,   3427,   3596,   3946,   4098,   4405,   4662,   4938,   5120,   5327,   5649,   5912,   6142,   6541,   6855,   7110,   7164,   7411,   7711,   7936, 
/* msg =     11, deg = 32 */     11,    187,    534,    761,   1033,   1385,   1568,   1975,   2055,   2447,   2717,   2975,   3077,   3428,   3597,   3947,   4099,   4406,   4663,   4939,   5121,   5328,   5650,   5913,   6143,   6542,   6856,   7111,   7165,   7412,   7712,   7937, 
/* msg =     12, deg = 32 */     12,    188,    535,    762,   1034,   1386,   1569,   1976,   2056,   2448,   2718,   2976,   3078,   3429,   3598,   3948,   4100,   4407,   4664,   4940,   5122,   5329,   5651,   5914,   6144,   6543,   6857,   7112,   7166,   7413,   7713,   7938, 
/* msg =     13, deg = 32 */     13,    189,    536,    763,   1035,   1387,   1570,   1977,   2057,   2449,   2719,   2977,   3079,   3430,   3599,   3949,   4101,   4408,   4665,   4941,   5123,   5330,   5652,   5915,   6145,   6544,   6858,   7113,   7167,   7414,   7714,   7939, 
/* msg =     14, deg = 32 */     14,    190,    537,    764,   1036,   1388,   1571,   1978,   2058,   2450,   2720,   2978,   3080,   3431,   3600,   3950,   4102,   4409,   4666,   4942,   5124,   5331,   5653,   5916,   6146,   6545,   6859,   7114,   7168,   7415,   7715,   7940, 
/* msg =     15, deg = 32 */     15,    191,    538,    765,   1037,   1389,   1572,   1979,   2059,   2451,   2721,   2979,   3081,   3432,   3601,   3951,   4103,   4410,   4667,   4943,   5125,   5332,   5654,   5917,   6147,   6546,   6860,   7115,   7169,   7416,   7716,   7941, 
/* msg =     16, deg = 32 */     16,    192,    539,    766,   1038,   1390,   1573,   1980,   2060,   2452,   2722,   2980,   3082,   3433,   3602,   3952,   4104,   4411,   4668,   4944,   5126,   5333,   5655,   5918,   6148,   6547,   6861,   7116,   7170,   7417,   7717,   7942, 
/* msg =     17, deg = 32 */     17,    193,    540,    767,   1039,   1391,   1574,   1981,   2061,   2453,   2723,   2981,   3083,   3434,   3603,   3953,   4105,   4412,   4669,   4945,   5127,   5334,   5656,   5919,   6149,   6548,   6862,   7117,   7171,   7418,   7718,   7943, 
/* msg =     18, deg = 32 */     18,    194,    541,    768,   1040,   1392,   1575,   1982,   2062,   2454,   2724,   2982,   3084,   3435,   3604,   3954,   4106,   4413,   4670,   4946,   5128,   5335,   5657,   5920,   6150,   6549,   6863,   7118,   7172,   7419,   7719,   7944, 
/* msg =     19, deg = 32 */     19,    195,    542,    769,   1041,   1393,   1576,   1983,   2063,   2455,   2725,   2983,   3085,   3436,   3605,   3955,   4107,   4414,   4671,   4947,   5129,   5336,   5658,   5921,   6151,   6550,   6864,   7119,   7173,   7420,   7720,   7945, 
/* msg =     20, deg = 32 */     20,    196,    543,    770,   1042,   1394,   1577,   1984,   2064,   2456,   2726,   2984,   3086,   3437,   3606,   3956,   4108,   4415,   4672,   4948,   5130,   5337,   5659,   5922,   6152,   6551,   6865,   7120,   7174,   7421,   7721,   7946, 
/* msg =     21, deg = 32 */     21,    197,    544,    771,   1043,   1395,   1578,   1985,   2065,   2457,   2727,   2985,   3087,   3438,   3607,   3957,   4109,   4416,   4673,   4949,   5131,   5338,   5660,   5923,   6153,   6552,   6866,   7121,   7175,   7422,   7722,   7947, 
/* msg =     22, deg = 32 */     22,    198,    545,    772,   1044,   1396,   1579,   1986,   2066,   2458,   2728,   2986,   3088,   3439,   3608,   3958,   4110,   4417,   4674,   4950,   5132,   5339,   5661,   5924,   6154,   6553,   6867,   7122,   7176,   7423,   7723,   7948, 
/* msg =     23, deg = 32 */     23,    199,    546,    773,   1045,   1397,   1580,   1987,   2067,   2459,   2729,   2987,   3089,   3440,   3609,   3959,   4111,   4418,   4675,   4951,   5133,   5340,   5662,   5925,   6155,   6554,   6868,   7123,   7177,   7424,   7724,   7949, 
/* msg =     24, deg = 32 */     24,    200,    547,    774,   1046,   1398,   1581,   1988,   2068,   2460,   2730,   2988,   3090,   3441,   3610,   3960,   4112,   4419,   4676,   4952,   5134,   5341,   5663,   5926,   6156,   6555,   6869,   7124,   7178,   7425,   7725,   7950, 
/* msg =     25, deg = 32 */     25,    201,    548,    775,   1047,   1399,   1582,   1989,   2069,   2461,   2731,   2989,   3091,   3442,   3611,   3961,   4113,   4420,   4677,   4953,   5135,   5342,   5664,   5927,   6157,   6556,   6870,   7125,   7179,   7426,   7726,   7951, 
/* msg =     26, deg = 32 */     26,    202,    549,    776,   1048,   1400,   1583,   1990,   2070,   2462,   2732,   2990,   3092,   3443,   3612,   3962,   4114,   4421,   4678,   4954,   5136,   5343,   5665,   5928,   6158,   6557,   6871,   7126,   7180,   7427,   7727,   7952, 
/* msg =     27, deg = 32 */     27,    203,    550,    777,   1049,   1401,   1584,   1991,   2071,   2463,   2733,   2991,   3093,   3444,   3613,   3963,   4115,   4422,   4679,   4955,   5137,   5344,   5666,   5929,   6159,   6558,   6872,   7127,   7181,   7428,   7728,   7953, 
/* msg =     28, deg = 32 */     28,    204,    551,    778,   1050,   1402,   1585,   1992,   2072,   2464,   2734,   2992,   3094,   3445,   3614,   3964,   4116,   4423,   4680,   4956,   5138,   5345,   5667,   5930,   6160,   6559,   6873,   7128,   7182,   7429,   7729,   7954, 
/* msg =     29, deg = 32 */     29,    205,    552,    779,   1051,   1403,   1586,   1993,   2073,   2465,   2735,   2993,   3095,   3446,   3615,   3965,   4117,   4424,   4681,   4957,   5139,   5346,   5668,   5931,   6161,   6560,   6874,   7129,   7183,   7430,   7730,   7955, 
/* msg =     30, deg = 32 */     30,    206,    553,    780,   1052,   1404,   1587,   1994,   2074,   2466,   2736,   2994,   3096,   3447,   3616,   3966,   4118,   4425,   4682,   4958,   5140,   5347,   5669,   5932,   6162,   6561,   6875,   7130,   7184,   7431,   7731,   7956, 
/* msg =     31, deg = 32 */     31,    207,    554,    781,   1053,   1405,   1588,   1995,   2075,   2467,   2737,   2995,   3097,   3448,   3617,   3967,   4119,   4426,   4683,   4959,   5141,   5348,   5670,   5933,   6163,   6562,   6876,   7131,   7185,   7432,   7732,   7957, 
/* msg =     32, deg = 32 */     32,    208,    555,    782,   1054,   1406,   1589,   1996,   2076,   2468,   2738,   2996,   3098,   3449,   3618,   3968,   4120,   4427,   4684,   4960,   5142,   5349,   5671,   5934,   6164,   6563,   6877,   7132,   7186,   7433,   7733,   7958, 
/* msg =     33, deg = 32 */     33,    209,    556,    783,   1055,   1407,   1590,   1997,   2077,   2469,   2739,   2997,   3099,   3450,   3619,   3969,   4121,   4428,   4685,   4961,   5143,   5350,   5672,   5935,   6165,   6564,   6878,   7133,   7187,   7434,   7734,   7959, 
/* msg =     34, deg = 32 */     34,    210,    557,    784,   1056,   1408,   1591,   1998,   2078,   2470,   2740,   2998,   3100,   3451,   3620,   3970,   4122,   4429,   4686,   4962,   5144,   5351,   5673,   5936,   6166,   6565,   6879,   7134,   7188,   7435,   7735,   7960, 
/* msg =     35, deg = 32 */     35,    211,    558,    785,   1057,   1409,   1592,   1999,   2079,   2471,   2741,   2999,   3101,   3452,   3621,   3971,   4123,   4430,   4687,   4963,   5145,   5352,   5674,   5937,   6167,   6566,   6880,   7135,   7189,   7436,   7736,   7961, 
/* msg =     36, deg = 32 */     36,    212,    559,    786,   1058,   1410,   1593,   2000,   2080,   2472,   2742,   3000,   3102,   3453,   3622,   3972,   4124,   4431,   4688,   4964,   5146,   5353,   5675,   5938,   6168,   6567,   6881,   7136,   7190,   7437,   7737,   7962, 
/* msg =     37, deg = 32 */     37,    213,    560,    787,   1059,   1411,   1594,   2001,   2081,   2473,   2743,   3001,   3103,   3454,   3623,   3973,   4125,   4432,   4689,   4965,   5147,   5354,   5676,   5939,   6169,   6568,   6882,   7137,   7191,   7438,   7738,   7963, 
/* msg =     38, deg = 32 */     38,    214,    561,    788,   1060,   1412,   1595,   2002,   2082,   2474,   2744,   3002,   3104,   3455,   3624,   3974,   4126,   4433,   4690,   4966,   5148,   5355,   5677,   5940,   6170,   6569,   6883,   7138,   7192,   7439,   7739,   7964, 
/* msg =     39, deg = 32 */     39,    215,    562,    789,   1061,   1413,   1596,   2003,   2083,   2475,   2745,   3003,   3105,   3456,   3625,   3975,   4127,   4434,   4691,   4967,   5149,   5356,   5678,   5941,   6171,   6570,   6884,   7139,   7193,   7440,   7740,   7965, 
/* msg =     40, deg = 32 */     40,    216,    563,    790,   1062,   1414,   1597,   2004,   2084,   2476,   2746,   3004,   3106,   3457,   3626,   3976,   4128,   4435,   4692,   4968,   5150,   5357,   5679,   5942,   6172,   6571,   6885,   7140,   7194,   7441,   7741,   7966, 
/* msg =     41, deg = 32 */     41,    217,    564,    791,   1063,   1415,   1598,   2005,   2085,   2477,   2747,   3005,   3107,   3458,   3627,   3977,   4129,   4436,   4693,   4969,   5151,   5358,   5680,   5943,   6173,   6572,   6886,   7141,   7195,   7442,   7742,   7967, 
/* msg =     42, deg = 32 */     42,    218,    565,    792,   1064,   1416,   1599,   2006,   2086,   2478,   2748,   3006,   3108,   3459,   3628,   3978,   4130,   4437,   4694,   4970,   5152,   5359,   5681,   5944,   6174,   6573,   6887,   7142,   7196,   7443,   7743,   7968, 
/* msg =     43, deg = 32 */     43,    219,    566,    793,   1065,   1417,   1600,   2007,   2087,   2479,   2749,   3007,   3109,   3460,   3629,   3979,   4131,   4438,   4695,   4971,   5153,   5360,   5682,   5945,   6175,   6574,   6888,   7143,   7197,   7444,   7744,   7969, 
/* msg =     44, deg = 32 */     44,    220,    567,    794,   1066,   1418,   1601,   2008,   2088,   2480,   2750,   3008,   3110,   3461,   3630,   3980,   4132,   4439,   4696,   4972,   5154,   5361,   5683,   5946,   6176,   6575,   6889,   7144,   7198,   7445,   7745,   7970, 
/* msg =     45, deg = 32 */     45,    221,    568,    795,   1067,   1419,   1602,   2009,   2089,   2481,   2751,   3009,   3111,   3462,   3631,   3981,   4133,   4440,   4697,   4973,   5155,   5362,   5684,   5947,   6177,   6576,   6890,   7145,   7199,   7446,   7746,   7971, 
/* msg =     46, deg = 32 */     46,    222,    569,    796,   1068,   1420,   1603,   2010,   2090,   2482,   2752,   3010,   3112,   3463,   3632,   3982,   4134,   4441,   4698,   4974,   5156,   5363,   5685,   5948,   6178,   6577,   6891,   7146,   7200,   7447,   7747,   7972, 
/* msg =     47, deg = 32 */     47,    223,    570,    797,   1069,   1421,   1604,   2011,   2091,   2483,   2753,   3011,   3113,   3464,   3633,   3983,   4135,   4442,   4699,   4975,   5157,   5364,   5686,   5949,   6179,   6578,   6892,   7147,   7201,   7448,   7748,   7973, 
/* msg =     48, deg = 32 */     48,    224,    571,    798,   1070,   1422,   1605,   2012,   2092,   2484,   2754,   3012,   3114,   3465,   3634,   3984,   4136,   4443,   4700,   4976,   5158,   5365,   5687,   5950,   6180,   6579,   6893,   7148,   7202,   7449,   7749,   7974, 
/* msg =     49, deg = 32 */     49,    225,    572,    799,   1071,   1423,   1606,   2013,   2093,   2485,   2755,   3013,   3115,   3466,   3635,   3985,   4137,   4444,   4701,   4977,   5159,   5366,   5688,   5951,   6181,   6580,   6894,   7149,   7203,   7450,   7750,   7975, 
/* msg =     50, deg = 32 */     50,    226,    573,    800,   1072,   1424,   1607,   2014,   2094,   2486,   2756,   3014,   3116,   3467,   3636,   3986,   4138,   4445,   4702,   4978,   5160,   5367,   5689,   5952,   6182,   6581,   6895,   7150,   7204,   7451,   7751,   7976, 
/* msg =     51, deg = 32 */     51,    227,    574,    801,   1073,   1425,   1608,   2015,   2095,   2487,   2757,   3015,   3117,   3468,   3637,   3987,   4139,   4446,   4703,   4979,   5161,   5368,   5690,   5953,   6183,   6582,   6896,   7151,   7205,   7452,   7752,   7977, 
/* msg =     52, deg = 32 */     52,    228,    575,    802,   1074,   1426,   1609,   2016,   2096,   2488,   2758,   3016,   3118,   3469,   3638,   3988,   4140,   4447,   4704,   4980,   5162,   5369,   5691,   5954,   6184,   6583,   6897,   7152,   7206,   7453,   7753,   7978, 
/* msg =     53, deg = 32 */     53,    229,    576,    803,   1075,   1427,   1610,   2017,   2097,   2489,   2759,   3017,   3119,   3470,   3639,   3989,   4141,   4448,   4705,   4981,   5163,   5370,   5692,   5955,   6185,   6584,   6898,   7153,   7207,   7454,   7754,   7979, 
/* msg =     54, deg = 32 */     54,    230,    577,    804,   1076,   1428,   1611,   2018,   2098,   2490,   2760,   3018,   3120,   3471,   3640,   3990,   4142,   4449,   4706,   4982,   5164,   5371,   5693,   5956,   6186,   6585,   6643,   6899,   7208,   7455,   7755,   7980, 
/* msg =     55, deg = 32 */     55,    231,    578,    805,   1077,   1429,   1612,   2019,   2099,   2491,   2761,   3019,   3121,   3472,   3641,   3991,   4143,   4450,   4707,   4983,   5165,   5372,   5694,   5957,   6187,   6586,   6644,   6900,   7209,   7456,   7756,   7981, 
/* msg =     56, deg = 32 */     56,    232,    579,    806,   1078,   1430,   1613,   2020,   2100,   2492,   2762,   3020,   3122,   3473,   3642,   3992,   4144,   4451,   4708,   4984,   5166,   5373,   5695,   5958,   6188,   6587,   6645,   6901,   7210,   7457,   7757,   7982, 
/* msg =     57, deg = 32 */     57,    233,    580,    807,   1079,   1431,   1614,   2021,   2101,   2493,   2763,   3021,   3123,   3474,   3643,   3993,   4145,   4452,   4709,   4985,   5167,   5374,   5696,   5959,   6189,   6588,   6646,   6902,   7211,   7458,   7758,   7983, 
/* msg =     58, deg = 32 */     58,    234,    581,    808,   1080,   1432,   1615,   2022,   2102,   2494,   2764,   3022,   3124,   3475,   3644,   3994,   4146,   4453,   4710,   4986,   5168,   5375,   5697,   5960,   6190,   6589,   6647,   6903,   7212,   7459,   7759,   7984, 
/* msg =     59, deg = 32 */     59,    235,    582,    809,   1081,   1433,   1616,   2023,   2103,   2495,   2765,   3023,   3125,   3476,   3645,   3995,   4147,   4454,   4711,   4987,   5169,   5376,   5698,   5961,   6191,   6590,   6648,   6904,   7213,   7460,   7760,   7985, 
/* msg =     60, deg = 32 */     60,    236,    583,    810,   1082,   1434,   1617,   2024,   2104,   2496,   2766,   3024,   3126,   3477,   3646,   3996,   4148,   4455,   4712,   4988,   5170,   5377,   5699,   5962,   6192,   6591,   6649,   6905,   7214,   7461,   7761,   7986, 
/* msg =     61, deg = 32 */     61,    237,    584,    811,   1083,   1435,   1618,   2025,   2105,   2497,   2767,   3025,   3127,   3478,   3647,   3997,   4149,   4456,   4713,   4989,   5171,   5378,   5700,   5963,   6193,   6592,   6650,   6906,   7215,   7462,   7762,   7987, 
/* msg =     62, deg = 32 */     62,    238,    585,    812,   1084,   1436,   1619,   2026,   2106,   2498,   2768,   3026,   3128,   3479,   3648,   3998,   4150,   4457,   4714,   4990,   5172,   5379,   5701,   5964,   6194,   6593,   6651,   6907,   7216,   7463,   7763,   7988, 
/* msg =     63, deg = 32 */     63,    239,    586,    813,   1085,   1437,   1620,   2027,   2107,   2499,   2769,   3027,   3129,   3480,   3649,   3999,   4151,   4458,   4715,   4991,   5173,   5380,   5702,   5965,   6195,   6594,   6652,   6908,   7217,   7464,   7764,   7989, 
/* msg =     64, deg = 32 */     64,    240,    587,    814,   1086,   1438,   1621,   2028,   2108,   2500,   2770,   3028,   3130,   3481,   3650,   4000,   4152,   4459,   4716,   4992,   5174,   5381,   5703,   5966,   6196,   6595,   6653,   6909,   7218,   7465,   7765,   7990, 
/* msg =     65, deg = 32 */     65,    241,    588,    815,   1087,   1439,   1622,   2029,   2109,   2501,   2771,   3029,   3131,   3482,   3651,   4001,   4153,   4460,   4717,   4993,   5175,   5382,   5704,   5967,   6197,   6596,   6654,   6910,   7219,   7466,   7766,   7991, 
/* msg =     66, deg = 32 */     66,    242,    589,    816,   1088,   1440,   1623,   2030,   2110,   2502,   2772,   3030,   3132,   3483,   3652,   4002,   4154,   4461,   4718,   4994,   5176,   5383,   5705,   5968,   6198,   6597,   6655,   6911,   7220,   7467,   7767,   7992, 
/* msg =     67, deg = 32 */     67,    243,    590,    817,   1089,   1441,   1624,   2031,   2111,   2503,   2773,   3031,   3133,   3484,   3653,   4003,   4155,   4462,   4719,   4995,   5177,   5384,   5706,   5969,   6199,   6598,   6656,   6912,   7221,   7468,   7768,   7993, 
/* msg =     68, deg = 32 */     68,    244,    591,    818,   1090,   1442,   1625,   2032,   2112,   2504,   2774,   3032,   3134,   3485,   3654,   4004,   4156,   4463,   4720,   4996,   5178,   5385,   5707,   5970,   6200,   6599,   6657,   6913,   7222,   7469,   7769,   7994, 
/* msg =     69, deg = 32 */     69,    245,    592,    819,   1091,   1443,   1626,   2033,   2113,   2505,   2775,   3033,   3135,   3486,   3655,   4005,   4157,   4464,   4721,   4997,   5179,   5386,   5708,   5971,   6201,   6600,   6658,   6914,   7223,   7470,   7770,   7995, 
/* msg =     70, deg = 32 */     70,    246,    593,    820,   1092,   1444,   1627,   2034,   2114,   2506,   2776,   3034,   3136,   3487,   3656,   4006,   4158,   4465,   4722,   4998,   5180,   5387,   5709,   5972,   6202,   6601,   6659,   6915,   7224,   7471,   7771,   7996, 
/* msg =     71, deg = 32 */     71,    247,    594,    821,   1093,   1445,   1628,   2035,   2115,   2507,   2777,   3035,   3137,   3488,   3657,   4007,   4159,   4466,   4723,   4999,   5181,   5388,   5710,   5973,   6203,   6602,   6660,   6916,   7225,   7472,   7772,   7997, 
/* msg =     72, deg = 32 */     72,    248,    595,    822,   1094,   1446,   1629,   2036,   2116,   2508,   2778,   3036,   3138,   3489,   3658,   4008,   4160,   4467,   4724,   5000,   5182,   5389,   5711,   5974,   6204,   6603,   6661,   6917,   7226,   7473,   7773,   7998, 
/* msg =     73, deg = 32 */     73,    249,    596,    823,   1095,   1447,   1630,   2037,   2117,   2509,   2779,   3037,   3139,   3490,   3659,   4009,   4161,   4468,   4725,   5001,   5183,   5390,   5712,   5975,   6205,   6604,   6662,   6918,   7227,   7474,   7774,   7999, 
/* msg =     74, deg = 32 */     74,    250,    597,    824,   1096,   1448,   1631,   2038,   2118,   2510,   2780,   3038,   3140,   3491,   3660,   4010,   4162,   4469,   4726,   5002,   5184,   5391,   5713,   5976,   6206,   6605,   6663,   6919,   7228,   7475,   7775,   8000, 
/* msg =     75, deg = 32 */     75,    251,    598,    825,   1097,   1449,   1632,   2039,   2119,   2511,   2781,   3039,   3141,   3492,   3661,   4011,   4163,   4470,   4727,   5003,   5185,   5392,   5714,   5977,   6207,   6606,   6664,   6920,   7229,   7476,   7776,   8001, 
/* msg =     76, deg = 32 */     76,    252,    599,    826,   1098,   1450,   1633,   2040,   2120,   2512,   2782,   3040,   3142,   3493,   3662,   4012,   4164,   4471,   4728,   5004,   5186,   5393,   5715,   5978,   6208,   6607,   6665,   6921,   7230,   7477,   7777,   8002, 
/* msg =     77, deg = 32 */     77,    253,    600,    827,   1099,   1451,   1634,   2041,   2121,   2513,   2783,   3041,   3143,   3494,   3663,   4013,   4165,   4472,   4729,   5005,   5187,   5394,   5716,   5979,   6209,   6608,   6666,   6922,   7231,   7478,   7778,   8003, 
/* msg =     78, deg = 32 */     78,    254,    601,    828,   1100,   1452,   1635,   2042,   2122,   2514,   2784,   3042,   3144,   3495,   3664,   4014,   4166,   4473,   4730,   5006,   5188,   5395,   5717,   5980,   6210,   6609,   6667,   6923,   7232,   7479,   7779,   8004, 
/* msg =     79, deg = 32 */     79,    255,    602,    829,   1101,   1453,   1636,   2043,   2123,   2515,   2785,   3043,   3145,   3496,   3665,   4015,   4167,   4474,   4731,   5007,   5189,   5396,   5718,   5981,   6211,   6610,   6668,   6924,   7233,   7480,   7780,   8005, 
/* msg =     80, deg = 32 */     80,    256,    603,    830,   1102,   1454,   1533,   1637,   2124,   2516,   2786,   3044,   3146,   3497,   3666,   4016,   4168,   4475,   4732,   5008,   5190,   5397,   5719,   5982,   6212,   6611,   6669,   6925,   7234,   7481,   7781,   8006, 
/* msg =     81, deg = 32 */     81,    257,    604,    831,   1103,   1455,   1534,   1638,   2125,   2517,   2787,   3045,   3147,   3498,   3667,   4017,   4169,   4476,   4733,   5009,   5191,   5398,   5720,   5983,   6213,   6612,   6670,   6926,   7235,   7482,   7782,   8007, 
/* msg =     82, deg = 32 */     82,    258,    605,    832,   1104,   1456,   1535,   1639,   2126,   2518,   2788,   3046,   3148,   3499,   3668,   4018,   4170,   4477,   4734,   5010,   5192,   5399,   5721,   5984,   6214,   6613,   6671,   6927,   7236,   7483,   7783,   8008, 
/* msg =     83, deg = 32 */     83,    259,    606,    833,   1105,   1457,   1536,   1640,   2127,   2519,   2789,   3047,   3149,   3500,   3669,   4019,   4171,   4478,   4735,   5011,   5193,   5400,   5722,   5985,   6215,   6614,   6672,   6928,   7237,   7484,   7784,   8009, 
/* msg =     84, deg = 32 */     84,    260,    607,    834,   1106,   1458,   1537,   1641,   2128,   2520,   2790,   3048,   3150,   3501,   3670,   4020,   4172,   4479,   4736,   5012,   5194,   5401,   5723,   5986,   6216,   6615,   6673,   6929,   7238,   7485,   7785,   8010, 
/* msg =     85, deg = 32 */     85,    261,    608,    835,   1107,   1459,   1538,   1642,   2129,   2521,   2791,   3049,   3151,   3502,   3671,   4021,   4173,   4480,   4737,   5013,   5195,   5402,   5724,   5987,   6217,   6616,   6674,   6930,   7239,   7486,   7786,   8011, 
/* msg =     86, deg = 32 */     86,    262,    609,    836,   1108,   1460,   1539,   1643,   2130,   2522,   2792,   3050,   3152,   3503,   3672,   4022,   4174,   4481,   4738,   5014,   5196,   5403,   5725,   5988,   6218,   6617,   6675,   6931,   7240,   7487,   7787,   8012, 
/* msg =     87, deg = 32 */     87,    263,    610,    837,   1109,   1461,   1540,   1644,   2131,   2523,   2793,   3051,   3153,   3504,   3673,   4023,   4175,   4482,   4739,   5015,   5197,   5404,   5726,   5989,   6219,   6618,   6676,   6932,   7241,   7488,   7788,   8013, 
/* msg =     88, deg = 32 */     88,    264,    611,    838,   1110,   1462,   1541,   1645,   2132,   2524,   2794,   3052,   3154,   3505,   3674,   4024,   4176,   4483,   4740,   5016,   5198,   5405,   5727,   5990,   6220,   6619,   6677,   6933,   7242,   7489,   7789,   8014, 
/* msg =     89, deg = 32 */     89,    265,    612,    839,   1111,   1463,   1542,   1646,   2133,   2525,   2795,   3053,   3155,   3506,   3675,   4025,   4177,   4484,   4741,   5017,   5199,   5406,   5728,   5991,   6221,   6620,   6678,   6934,   7243,   7490,   7790,   8015, 
/* msg =     90, deg = 32 */     90,    266,    613,    840,   1112,   1464,   1543,   1647,   2134,   2526,   2796,   3054,   3156,   3507,   3676,   4026,   4178,   4485,   4742,   5018,   5200,   5407,   5729,   5992,   6222,   6621,   6679,   6935,   7244,   7491,   7791,   8016, 
/* msg =     91, deg = 32 */     91,    267,    614,    841,   1113,   1465,   1544,   1648,   2135,   2527,   2797,   3055,   3157,   3508,   3677,   4027,   4179,   4486,   4743,   5019,   5201,   5408,   5730,   5993,   6223,   6622,   6680,   6936,   7245,   7492,   7792,   8017, 
/* msg =     92, deg = 32 */     92,    268,    615,    842,   1114,   1466,   1545,   1649,   2136,   2528,   2798,   3056,   3158,   3509,   3678,   4028,   4180,   4487,   4744,   5020,   5202,   5409,   5731,   5994,   6224,   6623,   6681,   6937,   7246,   7493,   7793,   8018, 
/* msg =     93, deg = 32 */     93,    269,    616,    843,   1115,   1467,   1546,   1650,   2137,   2529,   2799,   3057,   3159,   3510,   3679,   4029,   4181,   4488,   4745,   5021,   5203,   5410,   5732,   5995,   6225,   6624,   6682,   6938,   7247,   7494,   7794,   8019, 
/* msg =     94, deg = 32 */     94,    270,    617,    844,   1116,   1468,   1547,   1651,   2138,   2530,   2800,   3058,   3160,   3511,   3680,   4030,   4182,   4489,   4746,   5022,   5204,   5411,   5733,   5996,   6226,   6625,   6683,   6939,   7248,   7495,   7795,   8020, 
/* msg =     95, deg = 32 */     95,    271,    618,    845,   1117,   1469,   1548,   1652,   2139,   2531,   2801,   3059,   3161,   3512,   3681,   4031,   4183,   4490,   4747,   5023,   5205,   5412,   5734,   5997,   6227,   6626,   6684,   6940,   7249,   7496,   7796,   8021, 
/* msg =     96, deg = 32 */     96,    272,    619,    846,   1118,   1470,   1549,   1653,   2140,   2532,   2802,   3060,   3162,   3513,   3682,   4032,   4184,   4491,   4748,   5024,   5206,   5413,   5735,   5998,   6228,   6627,   6685,   6941,   7250,   7497,   7797,   8022, 
/* msg =     97, deg = 32 */     97,    273,    620,    847,   1119,   1471,   1550,   1654,   2141,   2533,   2803,   3061,   3163,   3514,   3683,   4033,   4185,   4492,   4749,   5025,   5207,   5414,   5736,   5999,   6229,   6628,   6686,   6942,   7251,   7498,   7798,   8023, 
/* msg =     98, deg = 32 */     98,    274,    621,    848,   1120,   1472,   1551,   1655,   2142,   2534,   2804,   3062,   3164,   3515,   3684,   4034,   4186,   4493,   4750,   5026,   5208,   5415,   5737,   6000,   6230,   6629,   6687,   6943,   7252,   7499,   7799,   8024, 
/* msg =     99, deg = 32 */     99,    275,    622,    849,   1121,   1473,   1552,   1656,   2143,   2535,   2805,   3063,   3165,   3516,   3685,   4035,   4187,   4494,   4751,   5027,   5209,   5416,   5738,   6001,   6231,   6630,   6688,   6944,   7253,   7500,   7800,   8025, 
/* msg =    100, deg = 32 */    100,    276,    623,    850,   1122,   1474,   1553,   1657,   2144,   2536,   2806,   3064,   3166,   3517,   3686,   4036,   4188,   4495,   4752,   5028,   5210,   5417,   5739,   6002,   6232,   6631,   6689,   6945,   7254,   7501,   7801,   8026, 
/* msg =    101, deg = 32 */    101,    277,    624,    851,   1123,   1475,   1554,   1658,   2145,   2537,   2807,   3065,   3167,   3518,   3687,   4037,   4189,   4496,   4753,   5029,   5211,   5418,   5740,   6003,   6233,   6632,   6690,   6946,   7255,   7502,   7802,   8027, 
/* msg =    102, deg = 32 */    102,    278,    625,    852,   1124,   1476,   1555,   1659,   2146,   2538,   2555,   2808,   3168,   3519,   3688,   4038,   4190,   4497,   4754,   5030,   5212,   5419,   5741,   6004,   6234,   6633,   6691,   6947,   7256,   7503,   7803,   8028, 
/* msg =    103, deg = 32 */    103,    279,    626,    853,   1125,   1477,   1556,   1660,   2147,   2539,   2556,   2809,   3169,   3520,   3689,   4039,   4191,   4498,   4755,   5031,   5213,   5420,   5742,   6005,   6235,   6634,   6692,   6948,   7257,   7504,   7804,   8029, 
/* msg =    104, deg = 32 */    104,    280,    627,    854,   1126,   1478,   1557,   1661,   2148,   2540,   2557,   2810,   3170,   3521,   3690,   4040,   4192,   4499,   4756,   5032,   5214,   5421,   5743,   6006,   6236,   6635,   6693,   6949,   7258,   7505,   7805,   8030, 
/* msg =    105, deg = 32 */    105,    281,    628,    855,   1127,   1479,   1558,   1662,   2149,   2541,   2558,   2811,   3171,   3522,   3691,   4041,   4193,   4500,   4757,   5033,   5215,   5422,   5744,   6007,   6237,   6636,   6694,   6950,   7259,   7506,   7806,   8031, 
/* msg =    106, deg = 32 */    106,    282,    629,    856,   1128,   1480,   1559,   1663,   2150,   2542,   2559,   2812,   3172,   3523,   3692,   4042,   4194,   4501,   4758,   5034,   5216,   5423,   5745,   6008,   6238,   6637,   6695,   6951,   7260,   7507,   7807,   8032, 
/* msg =    107, deg = 32 */    107,    283,    630,    857,   1129,   1481,   1560,   1664,   2151,   2543,   2560,   2813,   3173,   3524,   3693,   4043,   4195,   4502,   4759,   5035,   5217,   5424,   5746,   6009,   6239,   6638,   6696,   6952,   7261,   7508,   7808,   8033, 
/* msg =    108, deg = 32 */    108,    284,    631,    858,   1130,   1482,   1561,   1665,   2152,   2544,   2561,   2814,   3174,   3525,   3694,   4044,   4196,   4503,   4760,   5036,   5218,   5425,   5747,   6010,   6240,   6639,   6697,   6953,   7262,   7509,   7809,   8034, 
/* msg =    109, deg = 32 */    109,    285,    632,    859,   1131,   1483,   1562,   1666,   2153,   2545,   2562,   2815,   3175,   3526,   3695,   4045,   4197,   4504,   4761,   5037,   5219,   5426,   5748,   6011,   6241,   6640,   6698,   6954,   7263,   7510,   7810,   8035, 
/* msg =    110, deg = 32 */    110,    286,    633,    860,   1132,   1484,   1563,   1667,   2154,   2546,   2563,   2816,   3176,   3527,   3696,   4046,   4198,   4505,   4762,   5038,   5220,   5427,   5749,   6012,   6242,   6641,   6699,   6955,   7264,   7511,   7811,   8036, 
/* msg =    111, deg = 32 */    111,    287,    634,    861,   1133,   1485,   1564,   1668,   2155,   2547,   2564,   2817,   3177,   3528,   3697,   4047,   4199,   4506,   4763,   5039,   5221,   5428,   5750,   6013,   6243,   6642,   6700,   6956,   7265,   7512,   7812,   8037, 
/* msg =    112, deg = 32 */    112,    288,    635,    862,   1134,   1486,   1565,   1669,   2156,   2548,   2565,   2818,   3178,   3529,   3698,   4048,   4200,   4507,   4764,   5040,   5222,   5429,   5751,   6014,   6132,   6244,   6701,   6957,   7266,   7513,   7813,   8038, 
/* msg =    113, deg = 32 */    113,    289,    636,    863,   1135,   1487,   1566,   1670,   2157,   2549,   2566,   2819,   3179,   3530,   3699,   4049,   4201,   4508,   4765,   5041,   5223,   5430,   5752,   6015,   6133,   6245,   6702,   6958,   7267,   7514,   7814,   8039, 
/* msg =    114, deg = 32 */    114,    290,    637,    864,   1136,   1488,   1567,   1671,   2158,   2550,   2567,   2820,   3180,   3531,   3700,   4050,   4202,   4509,   4766,   5042,   5224,   5431,   5753,   6016,   6134,   6246,   6703,   6959,   7268,   7515,   7815,   8040, 
/* msg =    115, deg = 32 */    115,    291,    638,    865,   1137,   1489,   1568,   1672,   2159,   2551,   2568,   2821,   3181,   3532,   3701,   4051,   4203,   4510,   4767,   5043,   5225,   5432,   5754,   6017,   6135,   6247,   6704,   6960,   7269,   7516,   7816,   8041, 
/* msg =    116, deg = 32 */    116,    292,    639,    866,   1138,   1490,   1569,   1673,   2160,   2552,   2569,   2822,   3182,   3533,   3702,   4052,   4204,   4511,   4768,   5044,   5226,   5433,   5755,   6018,   6136,   6248,   6705,   6961,   7270,   7517,   7817,   8042, 
/* msg =    117, deg = 32 */    117,    293,    640,    867,   1139,   1491,   1570,   1674,   2161,   2553,   2570,   2823,   3183,   3534,   3703,   4053,   4205,   4512,   4769,   5045,   5227,   5434,   5756,   6019,   6137,   6249,   6706,   6962,   7271,   7518,   7818,   8043, 
/* msg =    118, deg = 32 */    118,    294,    641,    868,   1140,   1492,   1571,   1675,   2162,   2554,   2571,   2824,   3184,   3535,   3704,   4054,   4206,   4513,   4770,   5046,   5228,   5435,   5757,   6020,   6138,   6250,   6707,   6963,   7272,   7519,   7819,   8044, 
/* msg =    119, deg = 32 */    119,    295,    642,    869,   1141,   1493,   1572,   1676,   2044,   2163,   2572,   2825,   3185,   3536,   3705,   4055,   4207,   4514,   4771,   5047,   5229,   5436,   5758,   6021,   6139,   6251,   6708,   6964,   7273,   7520,   7820,   8045, 
/* msg =    120, deg = 32 */    120,    296,    643,    870,   1142,   1494,   1573,   1677,   2045,   2164,   2573,   2826,   3186,   3537,   3706,   4056,   4208,   4515,   4772,   5048,   5230,   5437,   5759,   6022,   6140,   6252,   6709,   6965,   7274,   7521,   7821,   8046, 
/* msg =    121, deg = 32 */    121,    297,    644,    871,   1143,   1495,   1574,   1678,   2046,   2165,   2574,   2827,   3187,   3538,   3707,   4057,   4209,   4516,   4773,   5049,   5231,   5438,   5760,   6023,   6141,   6253,   6710,   6966,   7275,   7522,   7822,   8047, 
/* msg =    122, deg = 32 */    122,    298,    645,    872,   1144,   1496,   1575,   1679,   2047,   2166,   2575,   2828,   3188,   3539,   3708,   4058,   4210,   4517,   4774,   5050,   5232,   5439,   5761,   6024,   6142,   6254,   6711,   6967,   7276,   7523,   7823,   8048, 
/* msg =    123, deg = 32 */    123,    299,    646,    873,   1145,   1497,   1576,   1680,   2048,   2167,   2576,   2829,   3189,   3540,   3709,   4059,   4211,   4518,   4775,   5051,   5233,   5440,   5762,   6025,   6143,   6255,   6712,   6968,   7277,   7524,   7824,   8049, 
/* msg =    124, deg = 32 */    124,    300,    647,    874,   1146,   1498,   1577,   1681,   2049,   2168,   2577,   2830,   3190,   3541,   3710,   4060,   4212,   4519,   4776,   5052,   5234,   5441,   5763,   6026,   6144,   6256,   6713,   6969,   7278,   7525,   7825,   8050, 
/* msg =    125, deg = 32 */    125,    301,    648,    875,   1147,   1499,   1578,   1682,   2050,   2169,   2578,   2831,   3191,   3542,   3711,   4061,   4213,   4520,   4777,   5053,   5235,   5442,   5764,   6027,   6145,   6257,   6714,   6970,   7279,   7526,   7826,   8051, 
/* msg =    126, deg = 32 */    126,    302,    649,    876,   1148,   1500,   1579,   1683,   2051,   2170,   2579,   2832,   3192,   3543,   3712,   4062,   4214,   4521,   4778,   5054,   5236,   5443,   5765,   6028,   6146,   6258,   6715,   6971,   7280,   7527,   7827,   8052, 
/* msg =    127, deg = 32 */    127,    303,    650,    877,   1149,   1501,   1580,   1684,   2052,   2171,   2580,   2833,   3193,   3544,   3713,   4063,   4215,   4522,   4779,   5055,   5237,   5444,   5766,   6029,   6147,   6259,   6716,   6972,   7281,   7528,   7828,   8053, 
/* msg =    128, deg = 32 */    128,    304,    651,    878,   1150,   1502,   1581,   1685,   2053,   2172,   2581,   2834,   3194,   3545,   3714,   4064,   4216,   4523,   4780,   5056,   5238,   5445,   5767,   6030,   6148,   6260,   6717,   6973,   7282,   7529,   7829,   8054, 
/* msg =    129, deg = 32 */    129,    305,    652,    879,   1151,   1503,   1582,   1686,   2054,   2173,   2582,   2835,   3195,   3546,   3715,   4065,   4217,   4524,   4781,   5057,   5239,   5446,   5768,   6031,   6149,   6261,   6718,   6974,   7283,   7530,   7830,   8055, 
/* msg =    130, deg = 32 */    130,    306,    653,    880,   1152,   1504,   1583,   1687,   2055,   2174,   2583,   2836,   3196,   3547,   3716,   4066,   4218,   4525,   4782,   5058,   5240,   5447,   5769,   6032,   6150,   6262,   6719,   6975,   7284,   7531,   7831,   8056, 
/* msg =    131, deg = 32 */    131,    307,    654,    881,   1153,   1505,   1584,   1688,   2056,   2175,   2584,   2837,   3197,   3548,   3717,   4067,   4219,   4526,   4783,   5059,   5241,   5448,   5770,   6033,   6151,   6263,   6720,   6976,   7285,   7532,   7832,   8057, 
/* msg =    132, deg = 32 */    132,    308,    655,    882,   1154,   1506,   1585,   1689,   2057,   2176,   2585,   2838,   3198,   3549,   3718,   4068,   4220,   4527,   4784,   5060,   5242,   5449,   5771,   6034,   6152,   6264,   6721,   6977,   7286,   7533,   7833,   8058, 
/* msg =    133, deg = 32 */    133,    309,    656,    883,   1155,   1507,   1586,   1690,   2058,   2177,   2586,   2839,   3199,   3550,   3719,   4069,   4221,   4528,   4785,   5061,   5243,   5450,   5772,   6035,   6153,   6265,   6722,   6978,   7287,   7534,   7834,   8059, 
/* msg =    134, deg = 32 */    134,    310,    657,    884,   1156,   1508,   1587,   1691,   2059,   2178,   2587,   2840,   3200,   3551,   3720,   4070,   4222,   4529,   4786,   5062,   5244,   5451,   5773,   6036,   6154,   6266,   6723,   6979,   7288,   7535,   7835,   8060, 
/* msg =    135, deg = 32 */    135,    311,    658,    885,   1157,   1509,   1588,   1692,   2060,   2179,   2588,   2841,   3201,   3552,   3721,   4071,   4223,   4530,   4787,   5063,   5245,   5452,   5774,   6037,   6155,   6267,   6724,   6980,   7289,   7536,   7836,   8061, 
/* msg =    136, deg = 32 */    136,    312,    659,    886,   1158,   1510,   1589,   1693,   2061,   2180,   2589,   2842,   3202,   3553,   3722,   4072,   4224,   4531,   4788,   5064,   5246,   5453,   5775,   6038,   6156,   6268,   6725,   6981,   7290,   7537,   7837,   8062, 
/* msg =    137, deg = 32 */    137,    313,    660,    887,   1159,   1511,   1590,   1694,   2062,   2181,   2590,   2843,   3203,   3554,   3723,   4073,   4225,   4532,   4789,   5065,   5247,   5454,   5776,   6039,   6157,   6269,   6726,   6982,   7291,   7538,   7838,   8063, 
/* msg =    138, deg = 32 */    138,    314,    661,    888,   1160,   1512,   1591,   1695,   2063,   2182,   2591,   2844,   3204,   3555,   3724,   4074,   4226,   4533,   4790,   5066,   5248,   5455,   5777,   6040,   6158,   6270,   6727,   6983,   7292,   7539,   7839,   8064, 
/* msg =    139, deg = 32 */    139,    315,    662,    889,   1161,   1513,   1592,   1696,   2064,   2183,   2592,   2845,   3205,   3556,   3725,   4075,   4227,   4534,   4791,   5067,   5249,   5456,   5778,   6041,   6159,   6271,   6728,   6984,   7293,   7540,   7840,   8065, 
/* msg =    140, deg = 32 */    140,    316,    663,    890,   1162,   1514,   1593,   1697,   2065,   2184,   2593,   2846,   3206,   3557,   3726,   4076,   4228,   4535,   4792,   5068,   5250,   5457,   5779,   6042,   6160,   6272,   6729,   6985,   7294,   7541,   7841,   8066, 
/* msg =    141, deg = 32 */    141,    317,    664,    891,   1163,   1515,   1594,   1698,   2066,   2185,   2594,   2847,   3207,   3558,   3727,   4077,   4229,   4536,   4793,   5069,   5251,   5458,   5780,   6043,   6161,   6273,   6730,   6986,   7295,   7542,   7842,   8067, 
/* msg =    142, deg = 32 */    142,    318,    665,    892,   1164,   1516,   1595,   1699,   2067,   2186,   2595,   2848,   3208,   3559,   3728,   4078,   4230,   4537,   4794,   5070,   5252,   5459,   5781,   6044,   6162,   6274,   6731,   6987,   7296,   7543,   7843,   8068, 
/* msg =    143, deg = 32 */    143,    319,    666,    893,   1165,   1517,   1596,   1700,   2068,   2187,   2596,   2849,   3209,   3560,   3729,   4079,   4231,   4538,   4795,   5071,   5253,   5460,   5782,   6045,   6163,   6275,   6732,   6988,   7297,   7544,   7844,   8069, 
/* msg =    144, deg = 32 */    144,    320,    667,    894,   1166,   1518,   1597,   1701,   2069,   2188,   2597,   2850,   3210,   3561,   3730,   4080,   4232,   4539,   4796,   5072,   5254,   5461,   5783,   6046,   6164,   6276,   6733,   6989,   7298,   7545,   7845,   8070, 
/* msg =    145, deg = 32 */    145,    321,    668,    895,   1167,   1519,   1598,   1702,   2070,   2189,   2598,   2851,   3211,   3562,   3731,   4081,   4233,   4540,   4797,   5073,   5255,   5462,   5784,   6047,   6165,   6277,   6734,   6990,   7299,   7546,   7846,   8071, 
/* msg =    146, deg = 32 */    146,    322,    669,    896,   1168,   1520,   1599,   1703,   2071,   2190,   2599,   2852,   3212,   3563,   3732,   4082,   4234,   4541,   4798,   5074,   5256,   5463,   5785,   6048,   6166,   6278,   6735,   6991,   7300,   7547,   7847,   8072, 
/* msg =    147, deg = 32 */    147,    323,    670,    897,   1169,   1521,   1600,   1704,   2072,   2191,   2600,   2853,   3213,   3564,   3733,   4083,   4235,   4542,   4799,   5075,   5257,   5464,   5786,   6049,   6167,   6279,   6736,   6992,   7301,   7548,   7848,   8073, 
/* msg =    148, deg = 32 */    148,    324,    671,    898,   1170,   1522,   1601,   1705,   2073,   2192,   2601,   2854,   3214,   3565,   3734,   4084,   4236,   4543,   4800,   5076,   5258,   5465,   5787,   6050,   6168,   6280,   6737,   6993,   7302,   7549,   7849,   8074, 
/* msg =    149, deg = 32 */    149,    325,    672,    899,   1171,   1523,   1602,   1706,   2074,   2193,   2602,   2855,   3215,   3566,   3735,   4085,   4237,   4544,   4801,   5077,   5259,   5466,   5788,   6051,   6169,   6281,   6738,   6994,   7303,   7550,   7850,   8075, 
/* msg =    150, deg = 32 */    150,    326,    673,    900,   1172,   1524,   1603,   1707,   2075,   2194,   2603,   2856,   3216,   3567,   3736,   4086,   4238,   4545,   4802,   5078,   5260,   5467,   5789,   6052,   6170,   6282,   6739,   6995,   7304,   7551,   7851,   8076, 
/* msg =    151, deg = 32 */    151,    327,    674,    901,   1173,   1525,   1604,   1708,   2076,   2195,   2604,   2857,   3217,   3568,   3737,   4087,   4239,   4546,   4803,   5079,   5261,   5468,   5790,   6053,   6171,   6283,   6740,   6996,   7305,   7552,   7852,   8077, 
/* msg =    152, deg = 32 */    152,    328,    675,    902,   1174,   1526,   1605,   1709,   2077,   2196,   2605,   2858,   3218,   3569,   3577,   3738,   4240,   4547,   4804,   5080,   5262,   5469,   5791,   6054,   6172,   6284,   6741,   6997,   7306,   7553,   7853,   8078, 
/* msg =    153, deg = 32 */    153,    329,    676,    903,   1175,   1527,   1606,   1710,   2078,   2197,   2606,   2859,   3219,   3570,   3578,   3739,   4241,   4548,   4805,   5081,   5263,   5470,   5792,   6055,   6173,   6285,   6742,   6998,   7307,   7554,   7854,   8079, 
/* msg =    154, deg = 32 */    154,    330,    677,    904,   1176,   1528,   1607,   1711,   2079,   2198,   2607,   2860,   3220,   3571,   3579,   3740,   4242,   4549,   4806,   5082,   5264,   5471,   5793,   6056,   6174,   6286,   6743,   6999,   7308,   7555,   7855,   8080, 
/* msg =    155, deg = 32 */    155,    331,    678,    905,   1177,   1529,   1608,   1712,   2080,   2199,   2608,   2861,   3221,   3572,   3580,   3741,   4243,   4550,   4807,   5083,   5265,   5472,   5794,   6057,   6175,   6287,   6744,   7000,   7309,   7556,   7856,   8081, 
/* msg =    156, deg = 32 */    156,    332,    679,    906,   1178,   1530,   1609,   1713,   2081,   2200,   2609,   2862,   3222,   3573,   3581,   3742,   4244,   4551,   4808,   5084,   5266,   5473,   5795,   6058,   6176,   6288,   6745,   7001,   7310,   7557,   7857,   8082, 
/* msg =    157, deg = 32 */    157,    333,    680,    907,   1179,   1531,   1610,   1714,   2082,   2201,   2610,   2863,   3223,   3574,   3582,   3743,   4245,   4552,   4809,   5085,   5267,   5474,   5796,   6059,   6177,   6289,   6746,   7002,   7311,   7558,   7858,   8083, 
/* msg =    158, deg = 32 */    158,    334,    681,    908,   1180,   1532,   1611,   1715,   2083,   2202,   2611,   2864,   3224,   3575,   3583,   3744,   4246,   4553,   4810,   5086,   5268,   5475,   5797,   6060,   6178,   6290,   6747,   7003,   7312,   7559,   7859,   8084, 
/* msg =    159, deg = 32 */    159,    335,    682,    909,   1022,   1181,   1612,   1716,   2084,   2203,   2612,   2865,   3225,   3576,   3584,   3745,   4247,   4554,   4811,   5087,   5269,   5476,   5798,   6061,   6179,   6291,   6748,   7004,   7313,   7560,   7860,   8085, 
/* msg =    160, deg = 32 */    160,    336,    683,    910,   1023,   1182,   1613,   1717,   2085,   2204,   2613,   2866,   3066,   3226,   3585,   3746,   4248,   4555,   4812,   5088,   5270,   5477,   5799,   6062,   6180,   6292,   6749,   7005,   7314,   7561,   7861,   8086, 
/* msg =    161, deg = 32 */    161,    337,    684,    911,   1024,   1183,   1614,   1718,   2086,   2205,   2614,   2867,   3067,   3227,   3586,   3747,   4249,   4556,   4813,   5089,   5271,   5478,   5800,   6063,   6181,   6293,   6750,   7006,   7315,   7562,   7862,   8087, 
/* msg =    162, deg = 32 */    162,    338,    685,    912,   1025,   1184,   1615,   1719,   2087,   2206,   2615,   2868,   3068,   3228,   3587,   3748,   4250,   4557,   4814,   5090,   5272,   5479,   5801,   6064,   6182,   6294,   6751,   7007,   7316,   7563,   7863,   8088, 
/* msg =    163, deg = 32 */    163,    339,    686,    913,   1026,   1185,   1616,   1720,   2088,   2207,   2616,   2869,   3069,   3229,   3588,   3749,   4251,   4558,   4815,   5091,   5273,   5480,   5802,   6065,   6183,   6295,   6752,   7008,   7317,   7564,   7864,   8089, 
/* msg =    164, deg = 32 */    164,    340,    687,    914,   1027,   1186,   1617,   1721,   2089,   2208,   2617,   2870,   3070,   3230,   3589,   3750,   4252,   4559,   4816,   5092,   5274,   5481,   5803,   6066,   6184,   6296,   6753,   7009,   7318,   7565,   7865,   8090, 
/* msg =    165, deg = 32 */    165,    341,    688,    915,   1028,   1187,   1618,   1722,   2090,   2209,   2618,   2871,   3071,   3231,   3590,   3751,   4253,   4560,   4817,   5093,   5275,   5482,   5804,   6067,   6185,   6297,   6754,   7010,   7319,   7566,   7866,   8091, 
/* msg =    166, deg = 32 */    166,    342,    689,    916,   1029,   1188,   1619,   1723,   2091,   2210,   2619,   2872,   3072,   3232,   3591,   3752,   4254,   4561,   4818,   5094,   5276,   5483,   5805,   6068,   6186,   6298,   6755,   7011,   7320,   7567,   7867,   8092, 
/* msg =    167, deg = 32 */    167,    343,    690,    917,   1030,   1189,   1620,   1724,   2092,   2211,   2620,   2873,   3073,   3233,   3592,   3753,   4255,   4562,   4819,   5095,   5277,   5484,   5806,   6069,   6187,   6299,   6756,   7012,   7321,   7568,   7868,   8093, 
/* msg =    168, deg = 32 */    168,    344,    691,    918,   1031,   1190,   1621,   1725,   2093,   2212,   2621,   2874,   3074,   3234,   3593,   3754,   4256,   4563,   4820,   5096,   5278,   5485,   5807,   6070,   6188,   6300,   6757,   7013,   7322,   7569,   7869,   8094, 
/* msg =    169, deg = 32 */    169,    345,    692,    919,   1032,   1191,   1622,   1726,   2094,   2213,   2622,   2875,   3075,   3235,   3594,   3755,   4257,   4564,   4821,   5097,   5279,   5486,   5808,   6071,   6189,   6301,   6758,   7014,   7323,   7570,   7870,   8095, 
/* msg =    170, deg = 32 */    170,    346,    693,    920,   1033,   1192,   1623,   1727,   2095,   2214,   2623,   2876,   3076,   3236,   3595,   3756,   4258,   4565,   4822,   5098,   5280,   5487,   5809,   6072,   6190,   6302,   6759,   7015,   7324,   7571,   7871,   8096, 
/* msg =    171, deg = 32 */    171,    347,    694,    921,   1034,   1193,   1624,   1728,   2096,   2215,   2624,   2877,   3077,   3237,   3596,   3757,   4259,   4566,   4823,   5099,   5281,   5488,   5810,   6073,   6191,   6303,   6760,   7016,   7325,   7572,   7872,   8097, 
/* msg =    172, deg = 32 */    172,    348,    695,    922,   1035,   1194,   1625,   1729,   2097,   2216,   2625,   2878,   3078,   3238,   3597,   3758,   4260,   4567,   4824,   5100,   5282,   5489,   5811,   6074,   6192,   6304,   6761,   7017,   7326,   7573,   7873,   8098, 
/* msg =    173, deg = 32 */    173,    349,    696,    923,   1036,   1195,   1626,   1730,   2098,   2217,   2626,   2879,   3079,   3239,   3598,   3759,   4261,   4568,   4825,   5101,   5283,   5490,   5812,   6075,   6193,   6305,   6762,   7018,   7327,   7574,   7874,   8099, 
/* msg =    174, deg = 32 */    174,    350,    697,    924,   1037,   1196,   1627,   1731,   2099,   2218,   2627,   2880,   3080,   3240,   3599,   3760,   4262,   4569,   4826,   5102,   5284,   5491,   5813,   6076,   6194,   6306,   6763,   7019,   7328,   7575,   7875,   8100, 
/* msg =    175, deg = 32 */    175,    351,    698,    925,   1038,   1197,   1628,   1732,   2100,   2219,   2628,   2881,   3081,   3241,   3600,   3761,   4263,   4570,   4827,   5103,   5285,   5492,   5814,   6077,   6195,   6307,   6764,   7020,   7329,   7576,   7876,   8101, 
/* msg =    176, deg = 32 */    176,    352,    699,    926,   1039,   1198,   1629,   1733,   2101,   2220,   2629,   2882,   3082,   3242,   3601,   3762,   4264,   4571,   4828,   5104,   5286,   5493,   5815,   6078,   6196,   6308,   6765,   7021,   7330,   7577,   7877,   8102, 
/* msg =    177, deg = 32 */    177,    353,    700,    927,   1040,   1199,   1630,   1734,   2102,   2221,   2630,   2883,   3083,   3243,   3602,   3763,   4265,   4572,   4829,   5105,   5287,   5494,   5816,   6079,   6197,   6309,   6766,   7022,   7331,   7578,   7878,   8103, 
/* msg =    178, deg = 32 */    178,    354,    701,    928,   1041,   1200,   1631,   1735,   2103,   2222,   2631,   2884,   3084,   3244,   3603,   3764,   4266,   4573,   4830,   5106,   5288,   5495,   5817,   6080,   6198,   6310,   6767,   7023,   7332,   7579,   7879,   8104, 
/* msg =    179, deg = 32 */    179,    355,    702,    929,   1042,   1201,   1632,   1736,   2104,   2223,   2632,   2885,   3085,   3245,   3604,   3765,   4267,   4574,   4831,   5107,   5289,   5496,   5818,   6081,   6199,   6311,   6768,   7024,   7333,   7580,   7880,   8105, 
/* msg =    180, deg = 32 */    180,    356,    703,    930,   1043,   1202,   1633,   1737,   2105,   2224,   2633,   2886,   3086,   3246,   3605,   3766,   4268,   4575,   4832,   5108,   5290,   5497,   5819,   6082,   6200,   6312,   6769,   7025,   7334,   7581,   7881,   8106, 
/* msg =    181, deg = 32 */    181,    357,    704,    931,   1044,   1203,   1634,   1738,   2106,   2225,   2634,   2887,   3087,   3247,   3606,   3767,   4269,   4576,   4833,   5109,   5291,   5498,   5820,   6083,   6201,   6313,   6770,   7026,   7335,   7582,   7882,   8107, 
/* msg =    182, deg = 32 */    182,    358,    705,    932,   1045,   1204,   1635,   1739,   2107,   2226,   2635,   2888,   3088,   3248,   3607,   3768,   4270,   4577,   4599,   4834,   5292,   5499,   5821,   6084,   6202,   6314,   6771,   7027,   7336,   7583,   7883,   8108, 
/* msg =    183, deg = 32 */    183,    359,    706,    933,   1046,   1205,   1636,   1740,   2108,   2227,   2636,   2889,   3089,   3249,   3608,   3769,   4271,   4578,   4600,   4835,   5293,   5500,   5822,   6085,   6203,   6315,   6772,   7028,   7337,   7584,   7884,   8109, 
/* msg =    184, deg = 32 */    184,    360,    707,    934,   1047,   1206,   1637,   1741,   2109,   2228,   2637,   2890,   3090,   3250,   3609,   3770,   4272,   4579,   4601,   4836,   5294,   5501,   5823,   6086,   6204,   6316,   6773,   7029,   7338,   7585,   7885,   8110, 
/* msg =    185, deg = 32 */    185,    361,    708,    935,   1048,   1207,   1638,   1742,   2110,   2229,   2638,   2891,   3091,   3251,   3610,   3771,   4273,   4580,   4602,   4837,   5295,   5502,   5824,   6087,   6205,   6317,   6774,   7030,   7339,   7586,   7886,   8111, 
/* msg =    186, deg = 32 */    186,    362,    709,    936,   1049,   1208,   1639,   1743,   2111,   2230,   2639,   2892,   3092,   3252,   3611,   3772,   4274,   4581,   4603,   4838,   5296,   5503,   5825,   6088,   6206,   6318,   6775,   7031,   7340,   7587,   7887,   8112, 
/* msg =    187, deg = 32 */    187,    363,    710,    937,   1050,   1209,   1640,   1744,   2112,   2231,   2640,   2893,   3093,   3253,   3612,   3773,   4275,   4582,   4604,   4839,   5297,   5504,   5826,   6089,   6207,   6319,   6776,   7032,   7341,   7588,   7888,   8113, 
/* msg =    188, deg = 32 */    188,    364,    711,    938,   1051,   1210,   1641,   1745,   2113,   2232,   2641,   2894,   3094,   3254,   3613,   3774,   4276,   4583,   4605,   4840,   5298,   5505,   5827,   6090,   6208,   6320,   6777,   7033,   7342,   7589,   7889,   8114, 
/* msg =    189, deg = 32 */    189,    365,    712,    939,   1052,   1211,   1642,   1746,   2114,   2233,   2642,   2895,   3095,   3255,   3614,   3775,   4277,   4584,   4606,   4841,   5299,   5506,   5828,   6091,   6209,   6321,   6778,   7034,   7343,   7590,   7890,   8115, 
/* msg =    190, deg = 32 */    190,    366,    713,    940,   1053,   1212,   1643,   1747,   2115,   2234,   2643,   2896,   3096,   3256,   3615,   3776,   4278,   4585,   4607,   4842,   5300,   5507,   5829,   6092,   6210,   6322,   6779,   7035,   7344,   7591,   7891,   8116, 
/* msg =    191, deg = 32 */    191,    367,    714,    941,   1054,   1213,   1644,   1748,   2116,   2235,   2644,   2897,   3097,   3257,   3616,   3777,   4279,   4586,   4608,   4843,   5301,   5508,   5830,   6093,   6211,   6323,   6780,   7036,   7345,   7592,   7892,   8117, 
/* msg =    192, deg = 32 */    192,    368,    715,    942,   1055,   1214,   1645,   1749,   2117,   2236,   2645,   2898,   3098,   3258,   3617,   3778,   4280,   4587,   4609,   4844,   5302,   5509,   5831,   6094,   6212,   6324,   6781,   7037,   7346,   7593,   7893,   8118, 
/* msg =    193, deg = 32 */    193,    369,    716,    943,   1056,   1215,   1646,   1750,   2118,   2237,   2646,   2899,   3099,   3259,   3618,   3779,   4281,   4588,   4610,   4845,   5303,   5510,   5832,   6095,   6213,   6325,   6782,   7038,   7347,   7594,   7894,   8119, 
/* msg =    194, deg = 32 */    194,    370,    717,    944,   1057,   1216,   1647,   1751,   2119,   2238,   2647,   2900,   3100,   3260,   3619,   3780,   4282,   4589,   4611,   4846,   5304,   5511,   5833,   6096,   6214,   6326,   6783,   7039,   7348,   7595,   7895,   8120, 
/* msg =    195, deg = 32 */    195,    371,    718,    945,   1058,   1217,   1648,   1752,   2120,   2239,   2648,   2901,   3101,   3261,   3620,   3781,   4283,   4590,   4612,   4847,   5305,   5512,   5834,   6097,   6215,   6327,   6784,   7040,   7349,   7596,   7896,   8121, 
/* msg =    196, deg = 32 */    196,    372,    719,    946,   1059,   1218,   1649,   1753,   2121,   2240,   2649,   2902,   3102,   3262,   3621,   3782,   4284,   4591,   4613,   4848,   5306,   5513,   5835,   6098,   6216,   6328,   6785,   7041,   7350,   7597,   7897,   8122, 
/* msg =    197, deg = 32 */    197,    373,    720,    947,   1060,   1219,   1650,   1754,   2122,   2241,   2650,   2903,   3103,   3263,   3622,   3783,   4285,   4592,   4614,   4849,   5307,   5514,   5836,   6099,   6217,   6329,   6786,   7042,   7351,   7598,   7898,   8123, 
/* msg =    198, deg = 32 */    198,    374,    721,    948,   1061,   1220,   1651,   1755,   2123,   2242,   2651,   2904,   3104,   3264,   3623,   3784,   4286,   4593,   4615,   4850,   5308,   5515,   5837,   6100,   6218,   6330,   6787,   7043,   7352,   7599,   7899,   8124, 
/* msg =    199, deg = 32 */    199,    375,    722,    949,   1062,   1221,   1652,   1756,   2124,   2243,   2652,   2905,   3105,   3265,   3624,   3785,   4287,   4594,   4616,   4851,   5309,   5516,   5838,   6101,   6219,   6331,   6788,   7044,   7353,   7600,   7900,   8125, 
/* msg =    200, deg = 32 */    200,    376,    723,    950,   1063,   1222,   1653,   1757,   2125,   2244,   2653,   2906,   3106,   3266,   3625,   3786,   4288,   4595,   4617,   4852,   5310,   5517,   5839,   6102,   6220,   6332,   6789,   7045,   7354,   7601,   7901,   8126, 
/* msg =    201, deg = 32 */    201,    377,    724,    951,   1064,   1223,   1654,   1758,   2126,   2245,   2654,   2907,   3107,   3267,   3626,   3787,   4289,   4596,   4618,   4853,   5311,   5518,   5840,   6103,   6221,   6333,   6790,   7046,   7355,   7602,   7902,   8127, 
/* msg =    202, deg = 32 */    202,    378,    725,    952,   1065,   1224,   1655,   1759,   2127,   2246,   2655,   2908,   3108,   3268,   3627,   3788,   4290,   4597,   4619,   4854,   5312,   5519,   5841,   6104,   6222,   6334,   6791,   7047,   7356,   7603,   7903,   8128, 
/* msg =    203, deg = 32 */    203,    379,    726,    953,   1066,   1225,   1656,   1760,   2128,   2247,   2656,   2909,   3109,   3269,   3628,   3789,   4291,   4598,   4620,   4855,   5313,   5520,   5842,   6105,   6223,   6335,   6792,   7048,   7357,   7604,   7904,   8129, 
/* msg =    204, deg = 32 */    204,    380,    727,    954,   1067,   1226,   1657,   1761,   2129,   2248,   2657,   2910,   3110,   3270,   3629,   3790,   4088,   4292,   4621,   4856,   5314,   5521,   5843,   6106,   6224,   6336,   6793,   7049,   7358,   7605,   7905,   8130, 
/* msg =    205, deg = 32 */    205,    381,    728,    955,   1068,   1227,   1658,   1762,   2130,   2249,   2658,   2911,   3111,   3271,   3630,   3791,   4089,   4293,   4622,   4857,   5315,   5522,   5844,   6107,   6225,   6337,   6794,   7050,   7359,   7606,   7906,   8131, 
/* msg =    206, deg = 32 */    206,    382,    729,    956,   1069,   1228,   1659,   1763,   2131,   2250,   2659,   2912,   3112,   3272,   3631,   3792,   4090,   4294,   4623,   4858,   5316,   5523,   5845,   6108,   6226,   6338,   6795,   7051,   7360,   7607,   7907,   8132, 
/* msg =    207, deg = 32 */    207,    383,    730,    957,   1070,   1229,   1660,   1764,   2132,   2251,   2660,   2913,   3113,   3273,   3632,   3793,   4091,   4295,   4624,   4859,   5317,   5524,   5846,   6109,   6227,   6339,   6796,   7052,   7361,   7608,   7908,   8133, 
/* msg =    208, deg = 32 */    208,    384,    731,    958,   1071,   1230,   1661,   1765,   2133,   2252,   2661,   2914,   3114,   3274,   3633,   3794,   4092,   4296,   4625,   4860,   5318,   5525,   5847,   6110,   6228,   6340,   6797,   7053,   7362,   7609,   7909,   8134, 
/* msg =    209, deg = 32 */    209,    385,    732,    959,   1072,   1231,   1662,   1766,   2134,   2253,   2662,   2915,   3115,   3275,   3634,   3795,   4093,   4297,   4626,   4861,   5319,   5526,   5848,   6111,   6229,   6341,   6798,   7054,   7363,   7610,   7910,   8135, 
/* msg =    210, deg = 32 */    210,    386,    733,    960,   1073,   1232,   1663,   1767,   2135,   2254,   2663,   2916,   3116,   3276,   3635,   3796,   4094,   4298,   4627,   4862,   5320,   5527,   5849,   6112,   6230,   6342,   6799,   7055,   7364,   7611,   7911,   8136, 
/* msg =    211, deg = 32 */    211,    387,    734,    961,   1074,   1233,   1664,   1768,   2136,   2255,   2664,   2917,   3117,   3277,   3636,   3797,   4095,   4299,   4628,   4863,   5321,   5528,   5850,   6113,   6231,   6343,   6800,   7056,   7365,   7612,   7912,   8137, 
/* msg =    212, deg = 32 */    212,    388,    735,    962,   1075,   1234,   1665,   1769,   2137,   2256,   2665,   2918,   3118,   3278,   3637,   3798,   4096,   4300,   4629,   4864,   5322,   5529,   5851,   6114,   6232,   6344,   6801,   7057,   7366,   7613,   7913,   8138, 
/* msg =    213, deg = 32 */    213,    389,    736,    963,   1076,   1235,   1666,   1770,   2138,   2257,   2666,   2919,   3119,   3279,   3638,   3799,   4097,   4301,   4630,   4865,   5323,   5530,   5852,   6115,   6233,   6345,   6802,   7058,   7367,   7614,   7914,   8139, 
/* msg =    214, deg = 32 */    214,    390,    737,    964,   1077,   1236,   1667,   1771,   2139,   2258,   2667,   2920,   3120,   3280,   3639,   3800,   4098,   4302,   4631,   4866,   5324,   5531,   5853,   6116,   6234,   6346,   6803,   7059,   7368,   7615,   7915,   8140, 
/* msg =    215, deg = 32 */    215,    391,    738,    965,   1078,   1237,   1668,   1772,   2140,   2259,   2668,   2921,   3121,   3281,   3640,   3801,   4099,   4303,   4632,   4867,   5325,   5532,   5854,   6117,   6235,   6347,   6804,   7060,   7369,   7616,   7916,   8141, 
/* msg =    216, deg = 32 */    216,    392,    739,    966,   1079,   1238,   1669,   1773,   2141,   2260,   2669,   2922,   3122,   3282,   3641,   3802,   4100,   4304,   4633,   4868,   5326,   5533,   5855,   6118,   6236,   6348,   6805,   7061,   7370,   7617,   7917,   8142, 
/* msg =    217, deg = 32 */    217,    393,    740,    967,   1080,   1239,   1670,   1774,   2142,   2261,   2670,   2923,   3123,   3283,   3642,   3803,   4101,   4305,   4634,   4869,   5327,   5534,   5856,   6119,   6237,   6349,   6806,   7062,   7371,   7618,   7918,   8143, 
/* msg =    218, deg = 32 */    218,    394,    741,    968,   1081,   1240,   1671,   1775,   2143,   2262,   2671,   2924,   3124,   3284,   3643,   3804,   4102,   4306,   4635,   4870,   5328,   5535,   5857,   6120,   6238,   6350,   6807,   7063,   7372,   7619,   7919,   8144, 
/* msg =    219, deg = 32 */    219,    395,    742,    969,   1082,   1241,   1672,   1776,   2144,   2263,   2672,   2925,   3125,   3285,   3644,   3805,   4103,   4307,   4636,   4871,   5329,   5536,   5858,   6121,   6239,   6351,   6808,   7064,   7373,   7620,   7920,   8145, 
/* msg =    220, deg = 32 */    220,    396,    743,    970,   1083,   1242,   1673,   1777,   2145,   2264,   2673,   2926,   3126,   3286,   3645,   3806,   4104,   4308,   4637,   4872,   5330,   5537,   5859,   6122,   6240,   6352,   6809,   7065,   7374,   7621,   7921,   8146, 
/* msg =    221, deg = 32 */    221,    397,    744,    971,   1084,   1243,   1674,   1778,   2146,   2265,   2674,   2927,   3127,   3287,   3646,   3807,   4105,   4309,   4638,   4873,   5331,   5538,   5860,   6123,   6241,   6353,   6810,   7066,   7375,   7622,   7922,   8147, 
/* msg =    222, deg = 32 */    222,    398,    745,    972,   1085,   1244,   1675,   1779,   2147,   2266,   2675,   2928,   3128,   3288,   3647,   3808,   4106,   4310,   4639,   4874,   5332,   5539,   5861,   6124,   6242,   6354,   6811,   7067,   7376,   7623,   7923,   8148, 
/* msg =    223, deg = 32 */    223,    399,    746,    973,   1086,   1245,   1676,   1780,   2148,   2267,   2676,   2929,   3129,   3289,   3648,   3809,   4107,   4311,   4640,   4875,   5333,   5540,   5862,   6125,   6243,   6355,   6812,   7068,   7377,   7624,   7924,   8149, 
/* msg =    224, deg = 32 */    224,    400,    747,    974,   1087,   1246,   1677,   1781,   2149,   2268,   2677,   2930,   3130,   3290,   3649,   3810,   4108,   4312,   4641,   4876,   5334,   5541,   5863,   6126,   6244,   6356,   6813,   7069,   7378,   7625,   7925,   8150, 
/* msg =    225, deg = 32 */    225,    401,    748,    975,   1088,   1247,   1678,   1782,   2150,   2269,   2678,   2931,   3131,   3291,   3650,   3811,   4109,   4313,   4642,   4877,   5335,   5542,   5864,   6127,   6245,   6357,   6814,   7070,   7379,   7626,   7926,   8151, 
/* msg =    226, deg = 32 */    226,    402,    749,    976,   1089,   1248,   1679,   1783,   2151,   2270,   2679,   2932,   3132,   3292,   3651,   3812,   4110,   4314,   4643,   4878,   5336,   5543,   5865,   6128,   6246,   6358,   6815,   7071,   7380,   7627,   7927,   8152, 
/* msg =    227, deg = 32 */    227,    403,    750,    977,   1090,   1249,   1680,   1784,   2152,   2271,   2680,   2933,   3133,   3293,   3652,   3813,   4111,   4315,   4644,   4879,   5337,   5544,   5866,   6129,   6247,   6359,   6816,   7072,   7381,   7628,   7928,   8153, 
/* msg =    228, deg = 32 */    228,    404,    751,    978,   1091,   1250,   1681,   1785,   2153,   2272,   2681,   2934,   3134,   3294,   3653,   3814,   4112,   4316,   4645,   4880,   5338,   5545,   5867,   6130,   6248,   6360,   6817,   7073,   7382,   7629,   7929,   8154, 
/* msg =    229, deg = 32 */    229,    405,    752,    979,   1092,   1251,   1682,   1786,   2154,   2273,   2682,   2935,   3135,   3295,   3654,   3815,   4113,   4317,   4646,   4881,   5339,   5546,   5868,   6131,   6249,   6361,   6818,   7074,   7383,   7630,   7930,   8155, 
/* msg =    230, deg = 32 */    230,    406,    753,    980,   1093,   1252,   1683,   1787,   2155,   2274,   2683,   2936,   3136,   3296,   3655,   3816,   4114,   4318,   4647,   4882,   5340,   5547,   5621,   5869,   6250,   6362,   6819,   7075,   7384,   7631,   7931,   8156, 
/* msg =    231, deg = 32 */    231,    407,    754,    981,   1094,   1253,   1684,   1788,   2156,   2275,   2684,   2937,   3137,   3297,   3656,   3817,   4115,   4319,   4648,   4883,   5341,   5548,   5622,   5870,   6251,   6363,   6820,   7076,   7385,   7632,   7932,   8157, 
/* msg =    232, deg = 32 */    232,    408,    755,    982,   1095,   1254,   1685,   1789,   2157,   2276,   2685,   2938,   3138,   3298,   3657,   3818,   4116,   4320,   4649,   4884,   5342,   5549,   5623,   5871,   6252,   6364,   6821,   7077,   7386,   7633,   7933,   8158, 
/* msg =    233, deg = 32 */    233,    409,    756,    983,   1096,   1255,   1686,   1790,   2158,   2277,   2686,   2939,   3139,   3299,   3658,   3819,   4117,   4321,   4650,   4885,   5343,   5550,   5624,   5872,   6253,   6365,   6822,   7078,   7387,   7634,   7934,   8159, 
/* msg =    234, deg = 32 */    234,    410,    757,    984,   1097,   1256,   1687,   1791,   2159,   2278,   2687,   2940,   3140,   3300,   3659,   3820,   4118,   4322,   4651,   4886,   5344,   5551,   5625,   5873,   6254,   6366,   6823,   7079,   7388,   7635,   7935,   8160, 
/* msg =    235, deg = 32 */    235,    411,    758,    985,   1098,   1257,   1688,   1792,   2160,   2279,   2688,   2941,   3141,   3301,   3660,   3821,   4119,   4323,   4652,   4887,   5345,   5552,   5626,   5874,   6255,   6367,   6824,   7080,   7389,   7636,   7936,   8161, 
/* msg =    236, deg = 32 */    236,    412,    759,    986,   1099,   1258,   1689,   1793,   2161,   2280,   2689,   2942,   3142,   3302,   3661,   3822,   4120,   4324,   4653,   4888,   5346,   5553,   5627,   5875,   6256,   6368,   6825,   7081,   7390,   7637,   7937,   8162, 
/* msg =    237, deg = 32 */    237,    413,    760,    987,   1100,   1259,   1690,   1794,   2162,   2281,   2690,   2943,   3143,   3303,   3662,   3823,   4121,   4325,   4654,   4889,   5347,   5554,   5628,   5876,   6257,   6369,   6826,   7082,   7391,   7638,   7938,   8163, 
/* msg =    238, deg = 32 */    238,    414,    761,    988,   1101,   1260,   1691,   1795,   2163,   2282,   2691,   2944,   3144,   3304,   3663,   3824,   4122,   4326,   4655,   4890,   5348,   5555,   5629,   5877,   6258,   6370,   6827,   7083,   7392,   7639,   7939,   8164, 
/* msg =    239, deg = 32 */    239,    415,    762,    989,   1102,   1261,   1692,   1796,   2164,   2283,   2692,   2945,   3145,   3305,   3664,   3825,   4123,   4327,   4656,   4891,   5349,   5556,   5630,   5878,   6259,   6371,   6828,   7084,   7393,   7640,   7940,   8165, 
/* msg =    240, deg = 32 */    240,    416,    763,    990,   1103,   1262,   1693,   1797,   2165,   2284,   2693,   2946,   3146,   3306,   3665,   3826,   4124,   4328,   4657,   4892,   5350,   5557,   5631,   5879,   6260,   6372,   6829,   7085,   7394,   7641,   7941,   8166, 
/* msg =    241, deg = 32 */    241,    417,    764,    991,   1104,   1263,   1694,   1798,   2166,   2285,   2694,   2947,   3147,   3307,   3666,   3827,   4125,   4329,   4658,   4893,   5351,   5558,   5632,   5880,   6261,   6373,   6830,   7086,   7395,   7642,   7942,   8167, 
/* msg =    242, deg = 32 */    242,    418,    765,    992,   1105,   1264,   1695,   1799,   2167,   2286,   2695,   2948,   3148,   3308,   3667,   3828,   4126,   4330,   4659,   4894,   5352,   5559,   5633,   5881,   6262,   6374,   6831,   7087,   7396,   7643,   7943,   8168, 
/* msg =    243, deg = 32 */    243,    419,    766,    993,   1106,   1265,   1696,   1800,   2168,   2287,   2696,   2949,   3149,   3309,   3668,   3829,   4127,   4331,   4660,   4895,   5353,   5560,   5634,   5882,   6263,   6375,   6832,   7088,   7397,   7644,   7944,   8169, 
/* msg =    244, deg = 32 */    244,    420,    767,    994,   1107,   1266,   1697,   1801,   2169,   2288,   2697,   2950,   3150,   3310,   3669,   3830,   4128,   4332,   4661,   4896,   5354,   5561,   5635,   5883,   6264,   6376,   6833,   7089,   7398,   7645,   7945,   8170, 
/* msg =    245, deg = 32 */    245,    421,    768,    995,   1108,   1267,   1698,   1802,   2170,   2289,   2698,   2951,   3151,   3311,   3670,   3831,   4129,   4333,   4662,   4897,   5355,   5562,   5636,   5884,   6265,   6377,   6834,   7090,   7399,   7646,   7946,   8171, 
/* msg =    246, deg = 32 */    246,    422,    769,    996,   1109,   1268,   1699,   1803,   2171,   2290,   2699,   2952,   3152,   3312,   3671,   3832,   4130,   4334,   4663,   4898,   5356,   5563,   5637,   5885,   6266,   6378,   6835,   7091,   7400,   7647,   7947,   8172, 
/* msg =    247, deg = 32 */    247,    423,    770,    997,   1110,   1269,   1700,   1804,   2172,   2291,   2700,   2953,   3153,   3313,   3672,   3833,   4131,   4335,   4664,   4899,   5357,   5564,   5638,   5886,   6267,   6379,   6836,   7092,   7401,   7648,   7948,   8173, 
/* msg =    248, deg = 32 */    248,    424,    771,    998,   1111,   1270,   1701,   1805,   2173,   2292,   2701,   2954,   3154,   3314,   3673,   3834,   4132,   4336,   4665,   4900,   5358,   5565,   5639,   5887,   6268,   6380,   6837,   7093,   7402,   7649,   7949,   8174, 
/* msg =    249, deg = 32 */    249,    425,    772,    999,   1112,   1271,   1702,   1806,   2174,   2293,   2702,   2955,   3155,   3315,   3674,   3835,   4133,   4337,   4666,   4901,   5359,   5566,   5640,   5888,   6269,   6381,   6838,   7094,   7403,   7650,   7950,   8175, 
/* msg =    250, deg = 32 */    250,    426,    773,   1000,   1113,   1272,   1703,   1807,   2175,   2294,   2703,   2956,   3156,   3316,   3675,   3836,   4134,   4338,   4667,   4902,   5360,   5567,   5641,   5889,   6270,   6382,   6839,   7095,   7404,   7651,   7665,   7951, 
/* msg =    251, deg = 32 */    251,    427,    774,   1001,   1114,   1273,   1704,   1808,   2176,   2295,   2704,   2957,   3157,   3317,   3676,   3837,   4135,   4339,   4668,   4903,   5361,   5568,   5642,   5890,   6271,   6383,   6840,   7096,   7405,   7652,   7666,   7952, 
/* msg =    252, deg = 32 */    252,    428,    775,   1002,   1115,   1274,   1705,   1809,   2177,   2296,   2705,   2958,   3158,   3318,   3677,   3838,   4136,   4340,   4669,   4904,   5362,   5569,   5643,   5891,   6272,   6384,   6841,   7097,   7406,   7653,   7667,   7953, 
/* msg =    253, deg = 32 */    253,    429,    776,   1003,   1116,   1275,   1706,   1810,   2178,   2297,   2706,   2959,   3159,   3319,   3678,   3839,   4137,   4341,   4670,   4905,   5363,   5570,   5644,   5892,   6273,   6385,   6842,   7098,   7407,   7654,   7668,   7954, 
/* msg =    254, deg = 32 */    254,    430,    777,   1004,   1117,   1276,   1707,   1811,   2179,   2298,   2707,   2960,   3160,   3320,   3679,   3840,   4138,   4342,   4671,   4906,   5364,   5571,   5645,   5893,   6274,   6386,   6843,   7099,   7408,   7655,   7669,   7955, 
/* msg =    255, deg = 32 */    255,    431,    778,   1005,   1118,   1277,   1708,   1812,   2180,   2299,   2708,   2961,   3161,   3321,   3680,   3841,   4139,   4343,   4672,   4907,   5365,   5572,   5646,   5894,   6275,   6387,   6844,   7100,   7409,   7656,   7670,   7956, 
/* msg =    256, deg = 32 */    256,    432,    779,   1006,   1119,   1278,   1709,   1813,   2181,   2300,   2709,   2962,   3162,   3322,   3681,   3842,   4140,   4344,   4673,   4908,   5366,   5573,   5647,   5895,   6276,   6388,   6845,   7101,   7410,   7657,   7671,   7957, 
/* msg =    257, deg = 32 */    257,    433,    780,   1007,   1120,   1279,   1710,   1814,   2182,   2301,   2710,   2963,   3163,   3323,   3682,   3843,   4141,   4345,   4674,   4909,   5367,   5574,   5648,   5896,   6277,   6389,   6846,   7102,   7411,   7658,   7672,   7958, 
/* msg =    258, deg = 32 */    258,    434,    781,   1008,   1121,   1280,   1711,   1815,   2183,   2302,   2711,   2964,   3164,   3324,   3683,   3844,   4142,   4346,   4675,   4910,   5368,   5575,   5649,   5897,   6278,   6390,   6847,   7103,   7412,   7659,   7673,   7959, 
/* msg =    259, deg = 32 */    259,    435,    782,   1009,   1122,   1281,   1712,   1816,   2184,   2303,   2712,   2965,   3165,   3325,   3684,   3845,   4143,   4347,   4676,   4911,   5369,   5576,   5650,   5898,   6279,   6391,   6848,   7104,   7413,   7660,   7674,   7960, 
/* msg =    260, deg = 32 */    260,    436,    783,   1010,   1123,   1282,   1713,   1817,   2185,   2304,   2713,   2966,   3166,   3326,   3685,   3846,   4144,   4348,   4677,   4912,   5370,   5577,   5651,   5899,   6280,   6392,   6849,   7105,   7414,   7661,   7675,   7961, 
/* msg =    261, deg = 32 */    261,    437,    784,   1011,   1124,   1283,   1714,   1818,   2186,   2305,   2714,   2967,   3167,   3327,   3686,   3847,   4145,   4349,   4678,   4913,   5371,   5578,   5652,   5900,   6281,   6393,   6850,   7106,   7415,   7662,   7676,   7962, 
/* msg =    262, deg = 32 */    262,    438,    785,   1012,   1125,   1284,   1715,   1819,   2187,   2306,   2715,   2968,   3168,   3328,   3687,   3848,   4146,   4350,   4679,   4914,   5372,   5579,   5653,   5901,   6282,   6394,   6851,   7107,   7416,   7663,   7677,   7963, 
/* msg =    263, deg = 32 */    263,    439,    786,   1013,   1126,   1285,   1716,   1820,   2188,   2307,   2716,   2969,   3169,   3329,   3688,   3849,   4147,   4351,   4680,   4915,   5373,   5580,   5654,   5902,   6283,   6395,   6852,   7108,   7417,   7664,   7678,   7964, 
/* msg =    264, deg = 32 */    264,    440,    787,   1014,   1127,   1286,   1717,   1821,   2189,   2308,   2717,   2970,   3170,   3330,   3689,   3850,   4148,   4352,   4681,   4916,   5374,   5581,   5655,   5903,   6284,   6396,   6853,   7109,   7154,   7418,   7679,   7965, 
/* msg =    265, deg = 32 */    265,    441,    788,   1015,   1128,   1287,   1718,   1822,   2190,   2309,   2718,   2971,   3171,   3331,   3690,   3851,   4149,   4353,   4682,   4917,   5375,   5582,   5656,   5904,   6285,   6397,   6854,   7110,   7155,   7419,   7680,   7966, 
/* msg =    266, deg = 32 */    266,    442,    789,   1016,   1129,   1288,   1719,   1823,   2191,   2310,   2719,   2972,   3172,   3332,   3691,   3852,   4150,   4354,   4683,   4918,   5376,   5583,   5657,   5905,   6286,   6398,   6855,   7111,   7156,   7420,   7681,   7967, 
/* msg =    267, deg = 32 */    267,    443,    790,   1017,   1130,   1289,   1720,   1824,   2192,   2311,   2720,   2973,   3173,   3333,   3692,   3853,   4151,   4355,   4684,   4919,   5377,   5584,   5658,   5906,   6287,   6399,   6856,   7112,   7157,   7421,   7682,   7968, 
/* msg =    268, deg = 32 */    268,    444,    791,   1018,   1131,   1290,   1721,   1825,   2193,   2312,   2721,   2974,   3174,   3334,   3693,   3854,   4152,   4356,   4685,   4920,   5378,   5585,   5659,   5907,   6288,   6400,   6857,   7113,   7158,   7422,   7683,   7969, 
/* msg =    269, deg = 32 */    269,    445,    792,   1019,   1132,   1291,   1722,   1826,   2194,   2313,   2722,   2975,   3175,   3335,   3694,   3855,   4153,   4357,   4686,   4921,   5379,   5586,   5660,   5908,   6289,   6401,   6858,   7114,   7159,   7423,   7684,   7970, 
/* msg =    270, deg = 32 */    270,    446,    793,   1020,   1133,   1292,   1723,   1827,   2195,   2314,   2723,   2976,   3176,   3336,   3695,   3856,   4154,   4358,   4687,   4922,   5380,   5587,   5661,   5909,   6290,   6402,   6859,   7115,   7160,   7424,   7685,   7971, 
/* msg =    271, deg = 32 */    271,    447,    794,   1021,   1134,   1293,   1724,   1828,   2196,   2315,   2724,   2977,   3177,   3337,   3696,   3857,   4155,   4359,   4688,   4923,   5381,   5588,   5662,   5910,   6291,   6403,   6860,   7116,   7161,   7425,   7686,   7972, 
/* msg =    272, deg = 32 */    272,    448,    511,    795,   1135,   1294,   1725,   1829,   2197,   2316,   2725,   2978,   3178,   3338,   3697,   3858,   4156,   4360,   4689,   4924,   5382,   5589,   5663,   5911,   6292,   6404,   6861,   7117,   7162,   7426,   7687,   7973, 
/* msg =    273, deg = 32 */    273,    449,    512,    796,   1136,   1295,   1726,   1830,   2198,   2317,   2726,   2979,   3179,   3339,   3698,   3859,   4157,   4361,   4690,   4925,   5383,   5590,   5664,   5912,   6293,   6405,   6862,   7118,   7163,   7427,   7688,   7974, 
/* msg =    274, deg = 32 */    274,    450,    513,    797,   1137,   1296,   1727,   1831,   2199,   2318,   2727,   2980,   3180,   3340,   3699,   3860,   4158,   4362,   4691,   4926,   5384,   5591,   5665,   5913,   6294,   6406,   6863,   7119,   7164,   7428,   7689,   7975, 
/* msg =    275, deg = 32 */    275,    451,    514,    798,   1138,   1297,   1728,   1832,   2200,   2319,   2728,   2981,   3181,   3341,   3700,   3861,   4159,   4363,   4692,   4927,   5385,   5592,   5666,   5914,   6295,   6407,   6864,   7120,   7165,   7429,   7690,   7976, 
/* msg =    276, deg = 32 */    276,    452,    515,    799,   1139,   1298,   1729,   1833,   2201,   2320,   2729,   2982,   3182,   3342,   3701,   3862,   4160,   4364,   4693,   4928,   5386,   5593,   5667,   5915,   6296,   6408,   6865,   7121,   7166,   7430,   7691,   7977, 
/* msg =    277, deg = 32 */    277,    453,    516,    800,   1140,   1299,   1730,   1834,   2202,   2321,   2730,   2983,   3183,   3343,   3702,   3863,   4161,   4365,   4694,   4929,   5387,   5594,   5668,   5916,   6297,   6409,   6866,   7122,   7167,   7431,   7692,   7978, 
/* msg =    278, deg = 32 */    278,    454,    517,    801,   1141,   1300,   1731,   1835,   2203,   2322,   2731,   2984,   3184,   3344,   3703,   3864,   4162,   4366,   4695,   4930,   5388,   5595,   5669,   5917,   6298,   6410,   6867,   7123,   7168,   7432,   7693,   7979, 
/* msg =    279, deg = 32 */    279,    455,    518,    802,   1142,   1301,   1732,   1836,   2204,   2323,   2732,   2985,   3185,   3345,   3704,   3865,   4163,   4367,   4696,   4931,   5389,   5596,   5670,   5918,   6299,   6411,   6868,   7124,   7169,   7433,   7694,   7980, 
/* msg =    280, deg = 32 */    280,    456,    519,    803,   1143,   1302,   1733,   1837,   2205,   2324,   2733,   2986,   3186,   3346,   3705,   3866,   4164,   4368,   4697,   4932,   5390,   5597,   5671,   5919,   6300,   6412,   6869,   7125,   7170,   7434,   7695,   7981, 
/* msg =    281, deg = 32 */    281,    457,    520,    804,   1144,   1303,   1734,   1838,   2206,   2325,   2734,   2987,   3187,   3347,   3706,   3867,   4165,   4369,   4698,   4933,   5391,   5598,   5672,   5920,   6301,   6413,   6870,   7126,   7171,   7435,   7696,   7982, 
/* msg =    282, deg = 32 */    282,    458,    521,    805,   1145,   1304,   1735,   1839,   2207,   2326,   2735,   2988,   3188,   3348,   3707,   3868,   4166,   4370,   4699,   4934,   5392,   5599,   5673,   5921,   6302,   6414,   6871,   7127,   7172,   7436,   7697,   7983, 
/* msg =    283, deg = 32 */    283,    459,    522,    806,   1146,   1305,   1736,   1840,   2208,   2327,   2736,   2989,   3189,   3349,   3708,   3869,   4167,   4371,   4700,   4935,   5393,   5600,   5674,   5922,   6303,   6415,   6872,   7128,   7173,   7437,   7698,   7984, 
/* msg =    284, deg = 32 */    284,    460,    523,    807,   1147,   1306,   1737,   1841,   2209,   2328,   2737,   2990,   3190,   3350,   3709,   3870,   4168,   4372,   4701,   4936,   5394,   5601,   5675,   5923,   6304,   6416,   6873,   7129,   7174,   7438,   7699,   7985, 
/* msg =    285, deg = 32 */    285,    461,    524,    808,   1148,   1307,   1738,   1842,   2210,   2329,   2738,   2991,   3191,   3351,   3710,   3871,   4169,   4373,   4702,   4937,   5395,   5602,   5676,   5924,   6305,   6417,   6874,   7130,   7175,   7439,   7700,   7986, 
/* msg =    286, deg = 32 */    286,    462,    525,    809,   1149,   1308,   1739,   1843,   2211,   2330,   2739,   2992,   3192,   3352,   3711,   3872,   4170,   4374,   4703,   4938,   5396,   5603,   5677,   5925,   6306,   6418,   6875,   7131,   7176,   7440,   7701,   7987, 
/* msg =    287, deg = 32 */    287,    463,    526,    810,   1150,   1309,   1740,   1844,   2212,   2331,   2740,   2993,   3193,   3353,   3712,   3873,   4171,   4375,   4704,   4939,   5397,   5604,   5678,   5926,   6307,   6419,   6876,   7132,   7177,   7441,   7702,   7988, 
/* msg =    288, deg = 32 */    288,    464,    527,    811,   1151,   1310,   1741,   1845,   2213,   2332,   2741,   2994,   3194,   3354,   3713,   3874,   4172,   4376,   4705,   4940,   5398,   5605,   5679,   5927,   6308,   6420,   6877,   7133,   7178,   7442,   7703,   7989, 
/* msg =    289, deg = 32 */    289,    465,    528,    812,   1152,   1311,   1742,   1846,   2214,   2333,   2742,   2995,   3195,   3355,   3714,   3875,   4173,   4377,   4706,   4941,   5399,   5606,   5680,   5928,   6309,   6421,   6878,   7134,   7179,   7443,   7704,   7990, 
/* msg =    290, deg = 32 */    290,    466,    529,    813,   1153,   1312,   1743,   1847,   2215,   2334,   2743,   2996,   3196,   3356,   3715,   3876,   4174,   4378,   4707,   4942,   5400,   5607,   5681,   5929,   6310,   6422,   6879,   7135,   7180,   7444,   7705,   7991, 
/* msg =    291, deg = 32 */    291,    467,    530,    814,   1154,   1313,   1744,   1848,   2216,   2335,   2744,   2997,   3197,   3357,   3716,   3877,   4175,   4379,   4708,   4943,   5401,   5608,   5682,   5930,   6311,   6423,   6880,   7136,   7181,   7445,   7706,   7992, 
/* msg =    292, deg = 32 */    292,    468,    531,    815,   1155,   1314,   1745,   1849,   2217,   2336,   2745,   2998,   3198,   3358,   3717,   3878,   4176,   4380,   4709,   4944,   5402,   5609,   5683,   5931,   6312,   6424,   6881,   7137,   7182,   7446,   7707,   7993, 
/* msg =    293, deg = 32 */    293,    469,    532,    816,   1156,   1315,   1746,   1850,   2218,   2337,   2746,   2999,   3199,   3359,   3718,   3879,   4177,   4381,   4710,   4945,   5403,   5610,   5684,   5932,   6313,   6425,   6882,   7138,   7183,   7447,   7708,   7994, 
/* msg =    294, deg = 32 */    294,    470,    533,    817,   1157,   1316,   1747,   1851,   2219,   2338,   2747,   3000,   3200,   3360,   3719,   3880,   4178,   4382,   4711,   4946,   5404,   5611,   5685,   5933,   6314,   6426,   6883,   7139,   7184,   7448,   7709,   7995, 
/* msg =    295, deg = 32 */    295,    471,    534,    818,   1158,   1317,   1748,   1852,   2220,   2339,   2748,   3001,   3201,   3361,   3720,   3881,   4179,   4383,   4712,   4947,   5405,   5612,   5686,   5934,   6315,   6427,   6884,   7140,   7185,   7449,   7710,   7996, 
/* msg =    296, deg = 32 */    296,    472,    535,    819,   1159,   1318,   1749,   1853,   2221,   2340,   2749,   3002,   3202,   3362,   3721,   3882,   4180,   4384,   4713,   4948,   5406,   5613,   5687,   5935,   6316,   6428,   6885,   7141,   7186,   7450,   7711,   7997, 
/* msg =    297, deg = 32 */    297,    473,    536,    820,   1160,   1319,   1750,   1854,   2222,   2341,   2750,   3003,   3203,   3363,   3722,   3883,   4181,   4385,   4714,   4949,   5407,   5614,   5688,   5936,   6317,   6429,   6886,   7142,   7187,   7451,   7712,   7998, 
/* msg =    298, deg = 32 */    298,    474,    537,    821,   1161,   1320,   1751,   1855,   2223,   2342,   2751,   3004,   3204,   3364,   3723,   3884,   4182,   4386,   4715,   4950,   5408,   5615,   5689,   5937,   6318,   6430,   6887,   7143,   7188,   7452,   7713,   7999, 
/* msg =    299, deg = 32 */    299,    475,    538,    822,   1162,   1321,   1752,   1856,   2224,   2343,   2752,   3005,   3205,   3365,   3724,   3885,   4183,   4387,   4716,   4951,   5409,   5616,   5690,   5938,   6319,   6431,   6888,   7144,   7189,   7453,   7714,   8000, 
/* msg =    300, deg = 32 */    300,    476,    539,    823,   1163,   1322,   1753,   1857,   2225,   2344,   2753,   3006,   3206,   3366,   3725,   3886,   4184,   4388,   4717,   4952,   5410,   5617,   5691,   5939,   6320,   6432,   6889,   7145,   7190,   7454,   7715,   8001, 
/* msg =    301, deg = 32 */    301,    477,    540,    824,   1164,   1323,   1754,   1858,   2226,   2345,   2754,   3007,   3207,   3367,   3726,   3887,   4185,   4389,   4718,   4953,   5411,   5618,   5692,   5940,   6321,   6433,   6890,   7146,   7191,   7455,   7716,   8002, 
/* msg =    302, deg = 32 */    302,    478,    541,    825,   1165,   1324,   1755,   1859,   2227,   2346,   2755,   3008,   3208,   3368,   3727,   3888,   4186,   4390,   4719,   4954,   5412,   5619,   5693,   5941,   6322,   6434,   6891,   7147,   7192,   7456,   7717,   8003, 
/* msg =    303, deg = 32 */    303,    479,    542,    826,   1166,   1325,   1756,   1860,   2228,   2347,   2756,   3009,   3209,   3369,   3728,   3889,   4187,   4391,   4720,   4955,   5413,   5620,   5694,   5942,   6323,   6435,   6892,   7148,   7193,   7457,   7718,   8004, 
/* msg =    304, deg = 32 */    304,    480,    543,    827,   1167,   1326,   1757,   1861,   2229,   2348,   2757,   3010,   3210,   3370,   3729,   3890,   4188,   4392,   4721,   4956,   5110,   5414,   5695,   5943,   6324,   6436,   6893,   7149,   7194,   7458,   7719,   8005, 
/* msg =    305, deg = 32 */    305,    481,    544,    828,   1168,   1327,   1758,   1862,   2230,   2349,   2758,   3011,   3211,   3371,   3730,   3891,   4189,   4393,   4722,   4957,   5111,   5415,   5696,   5944,   6325,   6437,   6894,   7150,   7195,   7459,   7720,   8006, 
/* msg =    306, deg = 32 */    306,    482,    545,    829,   1169,   1328,   1759,   1863,   2231,   2350,   2759,   3012,   3212,   3372,   3731,   3892,   4190,   4394,   4723,   4958,   5112,   5416,   5697,   5945,   6326,   6438,   6895,   7151,   7196,   7460,   7721,   8007, 
/* msg =    307, deg = 32 */    307,    483,    546,    830,   1170,   1329,   1760,   1864,   2232,   2351,   2760,   3013,   3213,   3373,   3732,   3893,   4191,   4395,   4724,   4959,   5113,   5417,   5698,   5946,   6327,   6439,   6896,   7152,   7197,   7461,   7722,   8008, 
/* msg =    308, deg = 32 */    308,    484,    547,    831,   1171,   1330,   1761,   1865,   2233,   2352,   2761,   3014,   3214,   3374,   3733,   3894,   4192,   4396,   4725,   4960,   5114,   5418,   5699,   5947,   6328,   6440,   6897,   7153,   7198,   7462,   7723,   8009, 
/* msg =    309, deg = 32 */    309,    485,    548,    832,   1172,   1331,   1762,   1866,   2234,   2353,   2762,   3015,   3215,   3375,   3734,   3895,   4193,   4397,   4726,   4961,   5115,   5419,   5700,   5948,   6329,   6441,   6643,   6898,   7199,   7463,   7724,   8010, 
/* msg =    310, deg = 32 */    310,    486,    549,    833,   1173,   1332,   1763,   1867,   2235,   2354,   2763,   3016,   3216,   3376,   3735,   3896,   4194,   4398,   4727,   4962,   5116,   5420,   5701,   5949,   6330,   6442,   6644,   6899,   7200,   7464,   7725,   8011, 
/* msg =    311, deg = 32 */    311,    487,    550,    834,   1174,   1333,   1764,   1868,   2236,   2355,   2764,   3017,   3217,   3377,   3736,   3897,   4195,   4399,   4728,   4963,   5117,   5421,   5702,   5950,   6331,   6443,   6645,   6900,   7201,   7465,   7726,   8012, 
/* msg =    312, deg = 32 */    312,    488,    551,    835,   1175,   1334,   1765,   1869,   2237,   2356,   2765,   3018,   3218,   3378,   3737,   3898,   4196,   4400,   4729,   4964,   5118,   5422,   5703,   5951,   6332,   6444,   6646,   6901,   7202,   7466,   7727,   8013, 
/* msg =    313, deg = 32 */    313,    489,    552,    836,   1176,   1335,   1766,   1870,   2238,   2357,   2766,   3019,   3219,   3379,   3738,   3899,   4197,   4401,   4730,   4965,   5119,   5423,   5704,   5952,   6333,   6445,   6647,   6902,   7203,   7467,   7728,   8014, 
/* msg =    314, deg = 32 */    314,    490,    553,    837,   1177,   1336,   1767,   1871,   2239,   2358,   2767,   3020,   3220,   3380,   3739,   3900,   4198,   4402,   4731,   4966,   5120,   5424,   5705,   5953,   6334,   6446,   6648,   6903,   7204,   7468,   7729,   8015, 
/* msg =    315, deg = 32 */    315,    491,    554,    838,   1178,   1337,   1768,   1872,   2240,   2359,   2768,   3021,   3221,   3381,   3740,   3901,   4199,   4403,   4732,   4967,   5121,   5425,   5706,   5954,   6335,   6447,   6649,   6904,   7205,   7469,   7730,   8016, 
/* msg =    316, deg = 32 */    316,    492,    555,    839,   1179,   1338,   1769,   1873,   2241,   2360,   2769,   3022,   3222,   3382,   3741,   3902,   4200,   4404,   4733,   4968,   5122,   5426,   5707,   5955,   6336,   6448,   6650,   6905,   7206,   7470,   7731,   8017, 
/* msg =    317, deg = 32 */    317,    493,    556,    840,   1180,   1339,   1770,   1874,   2242,   2361,   2770,   3023,   3223,   3383,   3742,   3903,   4201,   4405,   4734,   4969,   5123,   5427,   5708,   5956,   6337,   6449,   6651,   6906,   7207,   7471,   7732,   8018, 
/* msg =    318, deg = 32 */    318,    494,    557,    841,   1181,   1340,   1771,   1875,   2243,   2362,   2771,   3024,   3224,   3384,   3743,   3904,   4202,   4406,   4735,   4970,   5124,   5428,   5709,   5957,   6338,   6450,   6652,   6907,   7208,   7472,   7733,   8019, 
/* msg =    319, deg = 32 */    319,    495,    558,    842,   1182,   1341,   1772,   1876,   2244,   2363,   2772,   3025,   3225,   3385,   3744,   3905,   4203,   4407,   4736,   4971,   5125,   5429,   5710,   5958,   6339,   6451,   6653,   6908,   7209,   7473,   7734,   8020, 
/* msg =    320, deg = 32 */    320,    496,    559,    843,   1183,   1342,   1773,   1877,   2245,   2364,   2773,   3026,   3226,   3386,   3745,   3906,   4204,   4408,   4737,   4972,   5126,   5430,   5711,   5959,   6340,   6452,   6654,   6909,   7210,   7474,   7735,   8021, 
/* msg =    321, deg = 32 */    321,    497,    560,    844,   1184,   1343,   1774,   1878,   2246,   2365,   2774,   3027,   3227,   3387,   3746,   3907,   4205,   4409,   4738,   4973,   5127,   5431,   5712,   5960,   6341,   6453,   6655,   6910,   7211,   7475,   7736,   8022, 
/* msg =    322, deg = 32 */    322,    498,    561,    845,   1185,   1344,   1775,   1879,   2247,   2366,   2775,   3028,   3228,   3388,   3747,   3908,   4206,   4410,   4739,   4974,   5128,   5432,   5713,   5961,   6342,   6454,   6656,   6911,   7212,   7476,   7737,   8023, 
/* msg =    323, deg = 32 */    323,    499,    562,    846,   1186,   1345,   1776,   1880,   2248,   2367,   2776,   3029,   3229,   3389,   3748,   3909,   4207,   4411,   4740,   4975,   5129,   5433,   5714,   5962,   6343,   6455,   6657,   6912,   7213,   7477,   7738,   8024, 
/* msg =    324, deg = 32 */    324,    500,    563,    847,   1187,   1346,   1777,   1881,   2249,   2368,   2777,   3030,   3230,   3390,   3749,   3910,   4208,   4412,   4741,   4976,   5130,   5434,   5715,   5963,   6344,   6456,   6658,   6913,   7214,   7478,   7739,   8025, 
/* msg =    325, deg = 32 */    325,    501,    564,    848,   1188,   1347,   1778,   1882,   2250,   2369,   2778,   3031,   3231,   3391,   3750,   3911,   4209,   4413,   4742,   4977,   5131,   5435,   5716,   5964,   6345,   6457,   6659,   6914,   7215,   7479,   7740,   8026, 
/* msg =    326, deg = 32 */    326,    502,    565,    849,   1189,   1348,   1779,   1883,   2251,   2370,   2779,   3032,   3232,   3392,   3751,   3912,   4210,   4414,   4743,   4978,   5132,   5436,   5717,   5965,   6346,   6458,   6660,   6915,   7216,   7480,   7741,   8027, 
/* msg =    327, deg = 32 */    327,    503,    566,    850,   1190,   1349,   1780,   1884,   2252,   2371,   2780,   3033,   3233,   3393,   3752,   3913,   4211,   4415,   4744,   4979,   5133,   5437,   5718,   5966,   6347,   6459,   6661,   6916,   7217,   7481,   7742,   8028, 
/* msg =    328, deg = 32 */    328,    504,    567,    851,   1191,   1350,   1781,   1885,   2253,   2372,   2781,   3034,   3234,   3394,   3753,   3914,   4212,   4416,   4745,   4980,   5134,   5438,   5719,   5967,   6348,   6460,   6662,   6917,   7218,   7482,   7743,   8029, 
/* msg =    329, deg = 32 */    329,    505,    568,    852,   1192,   1351,   1782,   1886,   2254,   2373,   2782,   3035,   3235,   3395,   3754,   3915,   4213,   4417,   4746,   4981,   5135,   5439,   5720,   5968,   6349,   6461,   6663,   6918,   7219,   7483,   7744,   8030, 
/* msg =    330, deg = 32 */    330,    506,    569,    853,   1193,   1352,   1783,   1887,   2255,   2374,   2783,   3036,   3236,   3396,   3755,   3916,   4214,   4418,   4747,   4982,   5136,   5440,   5721,   5969,   6350,   6462,   6664,   6919,   7220,   7484,   7745,   8031, 
/* msg =    331, deg = 32 */    331,    507,    570,    854,   1194,   1353,   1784,   1888,   2256,   2375,   2784,   3037,   3237,   3397,   3756,   3917,   4215,   4419,   4748,   4983,   5137,   5441,   5722,   5970,   6351,   6463,   6665,   6920,   7221,   7485,   7746,   8032, 
/* msg =    332, deg = 32 */    332,    508,    571,    855,   1195,   1354,   1785,   1889,   2257,   2376,   2785,   3038,   3238,   3398,   3757,   3918,   4216,   4420,   4749,   4984,   5138,   5442,   5723,   5971,   6352,   6464,   6666,   6921,   7222,   7486,   7747,   8033, 
/* msg =    333, deg = 32 */    333,    509,    572,    856,   1196,   1355,   1786,   1890,   2258,   2377,   2786,   3039,   3239,   3399,   3758,   3919,   4217,   4421,   4750,   4985,   5139,   5443,   5724,   5972,   6353,   6465,   6667,   6922,   7223,   7487,   7748,   8034, 
/* msg =    334, deg = 32 */    334,    510,    573,    857,   1197,   1356,   1787,   1891,   2259,   2378,   2787,   3040,   3240,   3400,   3759,   3920,   4218,   4422,   4751,   4986,   5140,   5444,   5725,   5973,   6354,   6466,   6668,   6923,   7224,   7488,   7749,   8035, 
/* msg =    335, deg = 32 */      0,    335,    574,    858,   1198,   1357,   1788,   1892,   2260,   2379,   2788,   3041,   3241,   3401,   3760,   3921,   4219,   4423,   4752,   4987,   5141,   5445,   5726,   5974,   6355,   6467,   6669,   6924,   7225,   7489,   7750,   8036, 
/* msg =    336, deg = 32 */      1,    336,    575,    859,   1199,   1358,   1789,   1893,   2261,   2380,   2789,   3042,   3242,   3402,   3761,   3922,   4220,   4424,   4753,   4988,   5142,   5446,   5727,   5975,   6356,   6468,   6670,   6925,   7226,   7490,   7751,   8037, 
/* msg =    337, deg = 32 */      2,    337,    576,    860,   1200,   1359,   1790,   1894,   2262,   2381,   2790,   3043,   3243,   3403,   3762,   3923,   4221,   4425,   4754,   4989,   5143,   5447,   5728,   5976,   6357,   6469,   6671,   6926,   7227,   7491,   7752,   8038, 
/* msg =    338, deg = 32 */      3,    338,    577,    861,   1201,   1360,   1791,   1895,   2263,   2382,   2791,   3044,   3244,   3404,   3763,   3924,   4222,   4426,   4755,   4990,   5144,   5448,   5729,   5977,   6358,   6470,   6672,   6927,   7228,   7492,   7753,   8039, 
/* msg =    339, deg = 32 */      4,    339,    578,    862,   1202,   1361,   1792,   1896,   2264,   2383,   2792,   3045,   3245,   3405,   3764,   3925,   4223,   4427,   4756,   4991,   5145,   5449,   5730,   5978,   6359,   6471,   6673,   6928,   7229,   7493,   7754,   8040, 
/* msg =    340, deg = 32 */      5,    340,    579,    863,   1203,   1362,   1793,   1897,   2265,   2384,   2793,   3046,   3246,   3406,   3765,   3926,   4224,   4428,   4757,   4992,   5146,   5450,   5731,   5979,   6360,   6472,   6674,   6929,   7230,   7494,   7755,   8041, 
/* msg =    341, deg = 32 */      6,    341,    580,    864,   1204,   1363,   1794,   1898,   2266,   2385,   2794,   3047,   3247,   3407,   3766,   3927,   4225,   4429,   4758,   4993,   5147,   5451,   5732,   5980,   6361,   6473,   6675,   6930,   7231,   7495,   7756,   8042, 
/* msg =    342, deg = 32 */      7,    342,    581,    865,   1205,   1364,   1795,   1899,   2267,   2386,   2795,   3048,   3248,   3408,   3767,   3928,   4226,   4430,   4759,   4994,   5148,   5452,   5733,   5981,   6362,   6474,   6676,   6931,   7232,   7496,   7757,   8043, 
/* msg =    343, deg = 32 */      8,    343,    582,    866,   1206,   1365,   1796,   1900,   2268,   2387,   2796,   3049,   3249,   3409,   3768,   3929,   4227,   4431,   4760,   4995,   5149,   5453,   5734,   5982,   6363,   6475,   6677,   6932,   7233,   7497,   7758,   8044, 
/* msg =    344, deg = 32 */      9,    344,    583,    867,   1207,   1366,   1797,   1901,   2269,   2388,   2797,   3050,   3250,   3410,   3769,   3930,   4228,   4432,   4761,   4996,   5150,   5454,   5735,   5983,   6364,   6476,   6678,   6933,   7234,   7498,   7759,   8045, 
/* msg =    345, deg = 32 */     10,    345,    584,    868,   1208,   1367,   1798,   1902,   2270,   2389,   2798,   3051,   3251,   3411,   3770,   3931,   4229,   4433,   4762,   4997,   5151,   5455,   5736,   5984,   6365,   6477,   6679,   6934,   7235,   7499,   7760,   8046, 
/* msg =    346, deg = 32 */     11,    346,    585,    869,   1209,   1368,   1799,   1903,   2271,   2390,   2799,   3052,   3252,   3412,   3771,   3932,   4230,   4434,   4763,   4998,   5152,   5456,   5737,   5985,   6366,   6478,   6680,   6935,   7236,   7500,   7761,   8047, 
/* msg =    347, deg = 32 */     12,    347,    586,    870,   1210,   1369,   1800,   1904,   2272,   2391,   2800,   3053,   3253,   3413,   3772,   3933,   4231,   4435,   4764,   4999,   5153,   5457,   5738,   5986,   6367,   6479,   6681,   6936,   7237,   7501,   7762,   8048, 
/* msg =    348, deg = 32 */     13,    348,    587,    871,   1211,   1370,   1801,   1905,   2273,   2392,   2801,   3054,   3254,   3414,   3773,   3934,   4232,   4436,   4765,   5000,   5154,   5458,   5739,   5987,   6368,   6480,   6682,   6937,   7238,   7502,   7763,   8049, 
/* msg =    349, deg = 32 */     14,    349,    588,    872,   1212,   1371,   1802,   1906,   2274,   2393,   2802,   3055,   3255,   3415,   3774,   3935,   4233,   4437,   4766,   5001,   5155,   5459,   5740,   5988,   6369,   6481,   6683,   6938,   7239,   7503,   7764,   8050, 
/* msg =    350, deg = 32 */     15,    350,    589,    873,   1213,   1372,   1803,   1907,   2275,   2394,   2803,   3056,   3256,   3416,   3775,   3936,   4234,   4438,   4767,   5002,   5156,   5460,   5741,   5989,   6370,   6482,   6684,   6939,   7240,   7504,   7765,   8051, 
/* msg =    351, deg = 32 */     16,    351,    590,    874,   1214,   1373,   1804,   1908,   2276,   2395,   2804,   3057,   3257,   3417,   3776,   3937,   4235,   4439,   4768,   5003,   5157,   5461,   5742,   5990,   6371,   6483,   6685,   6940,   7241,   7505,   7766,   8052, 
/* msg =    352, deg = 32 */     17,    352,    591,    875,   1215,   1374,   1805,   1909,   2277,   2396,   2805,   3058,   3258,   3418,   3777,   3938,   4236,   4440,   4769,   5004,   5158,   5462,   5743,   5991,   6372,   6484,   6686,   6941,   7242,   7506,   7767,   8053, 
/* msg =    353, deg = 32 */     18,    353,    592,    876,   1216,   1375,   1806,   1910,   2278,   2397,   2806,   3059,   3259,   3419,   3778,   3939,   4237,   4441,   4770,   5005,   5159,   5463,   5744,   5992,   6373,   6485,   6687,   6942,   7243,   7507,   7768,   8054, 
/* msg =    354, deg = 32 */     19,    354,    593,    877,   1217,   1376,   1807,   1911,   2279,   2398,   2807,   3060,   3260,   3420,   3779,   3940,   4238,   4442,   4771,   5006,   5160,   5464,   5745,   5993,   6374,   6486,   6688,   6943,   7244,   7508,   7769,   8055, 
/* msg =    355, deg = 32 */     20,    355,    594,    878,   1218,   1377,   1808,   1912,   2280,   2399,   2808,   3061,   3261,   3421,   3780,   3941,   4239,   4443,   4772,   5007,   5161,   5465,   5746,   5994,   6375,   6487,   6689,   6944,   7245,   7509,   7770,   8056, 
/* msg =    356, deg = 32 */     21,    356,    595,    879,   1219,   1378,   1809,   1913,   2281,   2400,   2809,   3062,   3262,   3422,   3781,   3942,   4240,   4444,   4773,   5008,   5162,   5466,   5747,   5995,   6376,   6488,   6690,   6945,   7246,   7510,   7771,   8057, 
/* msg =    357, deg = 32 */     22,    357,    596,    880,   1220,   1379,   1810,   1914,   2282,   2401,   2810,   3063,   3263,   3423,   3782,   3943,   4241,   4445,   4774,   5009,   5163,   5467,   5748,   5996,   6377,   6489,   6691,   6946,   7247,   7511,   7772,   8058, 
/* msg =    358, deg = 32 */     23,    358,    597,    881,   1221,   1380,   1811,   1915,   2283,   2402,   2811,   3064,   3264,   3424,   3783,   3944,   4242,   4446,   4775,   5010,   5164,   5468,   5749,   5997,   6378,   6490,   6692,   6947,   7248,   7512,   7773,   8059, 
/* msg =    359, deg = 32 */     24,    359,    598,    882,   1222,   1381,   1812,   1916,   2284,   2403,   2812,   3065,   3265,   3425,   3784,   3945,   4243,   4447,   4776,   5011,   5165,   5469,   5750,   5998,   6379,   6491,   6693,   6948,   7249,   7513,   7774,   8060, 
/* msg =    360, deg = 32 */     25,    360,    599,    883,   1223,   1382,   1813,   1917,   2285,   2404,   2555,   2813,   3266,   3426,   3785,   3946,   4244,   4448,   4777,   5012,   5166,   5470,   5751,   5999,   6380,   6492,   6694,   6949,   7250,   7514,   7775,   8061, 
/* msg =    361, deg = 32 */     26,    361,    600,    884,   1224,   1383,   1814,   1918,   2286,   2405,   2556,   2814,   3267,   3427,   3786,   3947,   4245,   4449,   4778,   5013,   5167,   5471,   5752,   6000,   6381,   6493,   6695,   6950,   7251,   7515,   7776,   8062, 
/* msg =    362, deg = 32 */     27,    362,    601,    885,   1225,   1384,   1815,   1919,   2287,   2406,   2557,   2815,   3268,   3428,   3787,   3948,   4246,   4450,   4779,   5014,   5168,   5472,   5753,   6001,   6382,   6494,   6696,   6951,   7252,   7516,   7777,   8063, 
/* msg =    363, deg = 32 */     28,    363,    602,    886,   1226,   1385,   1816,   1920,   2288,   2407,   2558,   2816,   3269,   3429,   3788,   3949,   4247,   4451,   4780,   5015,   5169,   5473,   5754,   6002,   6383,   6495,   6697,   6952,   7253,   7517,   7778,   8064, 
/* msg =    364, deg = 32 */     29,    364,    603,    887,   1227,   1386,   1817,   1921,   2289,   2408,   2559,   2817,   3270,   3430,   3789,   3950,   4248,   4452,   4781,   5016,   5170,   5474,   5755,   6003,   6384,   6496,   6698,   6953,   7254,   7518,   7779,   8065, 
/* msg =    365, deg = 32 */     30,    365,    604,    888,   1228,   1387,   1818,   1922,   2290,   2409,   2560,   2818,   3271,   3431,   3790,   3951,   4249,   4453,   4782,   5017,   5171,   5475,   5756,   6004,   6385,   6497,   6699,   6954,   7255,   7519,   7780,   8066, 
/* msg =    366, deg = 32 */     31,    366,    605,    889,   1229,   1388,   1819,   1923,   2291,   2410,   2561,   2819,   3272,   3432,   3791,   3952,   4250,   4454,   4783,   5018,   5172,   5476,   5757,   6005,   6386,   6498,   6700,   6955,   7256,   7520,   7781,   8067, 
/* msg =    367, deg = 32 */     32,    367,    606,    890,   1230,   1389,   1820,   1924,   2292,   2411,   2562,   2820,   3273,   3433,   3792,   3953,   4251,   4455,   4784,   5019,   5173,   5477,   5758,   6006,   6387,   6499,   6701,   6956,   7257,   7521,   7782,   8068, 
/* msg =    368, deg = 32 */     33,    368,    607,    891,   1231,   1390,   1821,   1925,   2293,   2412,   2563,   2821,   3274,   3434,   3793,   3954,   4252,   4456,   4785,   5020,   5174,   5478,   5759,   6007,   6388,   6500,   6702,   6957,   7258,   7522,   7783,   8069, 
/* msg =    369, deg = 32 */     34,    369,    608,    892,   1232,   1391,   1822,   1926,   2294,   2413,   2564,   2822,   3275,   3435,   3794,   3955,   4253,   4457,   4786,   5021,   5175,   5479,   5760,   6008,   6389,   6501,   6703,   6958,   7259,   7523,   7784,   8070, 
/* msg =    370, deg = 32 */     35,    370,    609,    893,   1233,   1392,   1823,   1927,   2295,   2414,   2565,   2823,   3276,   3436,   3795,   3956,   4254,   4458,   4787,   5022,   5176,   5480,   5761,   6009,   6390,   6502,   6704,   6959,   7260,   7524,   7785,   8071, 
/* msg =    371, deg = 32 */     36,    371,    610,    894,   1234,   1393,   1824,   1928,   2296,   2415,   2566,   2824,   3277,   3437,   3796,   3957,   4255,   4459,   4788,   5023,   5177,   5481,   5762,   6010,   6391,   6503,   6705,   6960,   7261,   7525,   7786,   8072, 
/* msg =    372, deg = 32 */     37,    372,    611,    895,   1235,   1394,   1825,   1929,   2297,   2416,   2567,   2825,   3278,   3438,   3797,   3958,   4256,   4460,   4789,   5024,   5178,   5482,   5763,   6011,   6392,   6504,   6706,   6961,   7262,   7526,   7787,   8073, 
/* msg =    373, deg = 32 */     38,    373,    612,    896,   1236,   1395,   1826,   1930,   2298,   2417,   2568,   2826,   3279,   3439,   3798,   3959,   4257,   4461,   4790,   5025,   5179,   5483,   5764,   6012,   6393,   6505,   6707,   6962,   7263,   7527,   7788,   8074, 
/* msg =    374, deg = 32 */     39,    374,    613,    897,   1237,   1396,   1827,   1931,   2299,   2418,   2569,   2827,   3280,   3440,   3799,   3960,   4258,   4462,   4791,   5026,   5180,   5484,   5765,   6013,   6394,   6506,   6708,   6963,   7264,   7528,   7789,   8075, 
/* msg =    375, deg = 32 */     40,    375,    614,    898,   1238,   1397,   1828,   1932,   2300,   2419,   2570,   2828,   3281,   3441,   3800,   3961,   4259,   4463,   4792,   5027,   5181,   5485,   5766,   6014,   6395,   6507,   6709,   6964,   7265,   7529,   7790,   8076, 
/* msg =    376, deg = 32 */     41,    376,    615,    899,   1239,   1398,   1829,   1933,   2301,   2420,   2571,   2829,   3282,   3442,   3801,   3962,   4260,   4464,   4793,   5028,   5182,   5486,   5767,   6015,   6396,   6508,   6710,   6965,   7266,   7530,   7791,   8077, 
/* msg =    377, deg = 32 */     42,    377,    616,    900,   1240,   1399,   1830,   1934,   2302,   2421,   2572,   2830,   3283,   3443,   3802,   3963,   4261,   4465,   4794,   5029,   5183,   5487,   5768,   6016,   6397,   6509,   6711,   6966,   7267,   7531,   7792,   8078, 
/* msg =    378, deg = 32 */     43,    378,    617,    901,   1241,   1400,   1831,   1935,   2303,   2422,   2573,   2831,   3284,   3444,   3803,   3964,   4262,   4466,   4795,   5030,   5184,   5488,   5769,   6017,   6398,   6510,   6712,   6967,   7268,   7532,   7793,   8079, 
/* msg =    379, deg = 32 */     44,    379,    618,    902,   1242,   1401,   1832,   1936,   2304,   2423,   2574,   2832,   3285,   3445,   3804,   3965,   4263,   4467,   4796,   5031,   5185,   5489,   5770,   6018,   6399,   6511,   6713,   6968,   7269,   7533,   7794,   8080, 
/* msg =    380, deg = 32 */     45,    380,    619,    903,   1243,   1402,   1833,   1937,   2305,   2424,   2575,   2833,   3286,   3446,   3805,   3966,   4264,   4468,   4797,   5032,   5186,   5490,   5771,   6019,   6400,   6512,   6714,   6969,   7270,   7534,   7795,   8081, 
/* msg =    381, deg = 32 */     46,    381,    620,    904,   1244,   1403,   1834,   1938,   2306,   2425,   2576,   2834,   3287,   3447,   3806,   3967,   4265,   4469,   4798,   5033,   5187,   5491,   5772,   6020,   6401,   6513,   6715,   6970,   7271,   7535,   7796,   8082, 
/* msg =    382, deg = 32 */     47,    382,    621,    905,   1245,   1404,   1835,   1939,   2307,   2426,   2577,   2835,   3288,   3448,   3807,   3968,   4266,   4470,   4799,   5034,   5188,   5492,   5773,   6021,   6402,   6514,   6716,   6971,   7272,   7536,   7797,   8083, 
/* msg =    383, deg = 32 */     48,    383,    622,    906,   1246,   1405,   1836,   1940,   2308,   2427,   2578,   2836,   3289,   3449,   3808,   3969,   4267,   4471,   4800,   5035,   5189,   5493,   5774,   6022,   6403,   6515,   6717,   6972,   7273,   7537,   7798,   8084, 
/* msg =    384, deg = 32 */     49,    384,    623,    907,   1247,   1406,   1837,   1941,   2309,   2428,   2579,   2837,   3290,   3450,   3809,   3970,   4268,   4472,   4801,   5036,   5190,   5494,   5775,   6023,   6404,   6516,   6718,   6973,   7274,   7538,   7799,   8085, 
/* msg =    385, deg = 32 */     50,    385,    624,    908,   1248,   1407,   1838,   1942,   2310,   2429,   2580,   2838,   3291,   3451,   3810,   3971,   4269,   4473,   4802,   5037,   5191,   5495,   5776,   6024,   6405,   6517,   6719,   6974,   7275,   7539,   7800,   8086, 
/* msg =    386, deg = 32 */     51,    386,    625,    909,   1249,   1408,   1839,   1943,   2311,   2430,   2581,   2839,   3292,   3452,   3811,   3972,   4270,   4474,   4803,   5038,   5192,   5496,   5777,   6025,   6406,   6518,   6720,   6975,   7276,   7540,   7801,   8087, 
/* msg =    387, deg = 32 */     52,    387,    626,    910,   1250,   1409,   1840,   1944,   2312,   2431,   2582,   2840,   3293,   3453,   3812,   3973,   4271,   4475,   4804,   5039,   5193,   5497,   5778,   6026,   6407,   6519,   6721,   6976,   7277,   7541,   7802,   8088, 
/* msg =    388, deg = 32 */     53,    388,    627,    911,   1251,   1410,   1841,   1945,   2313,   2432,   2583,   2841,   3294,   3454,   3813,   3974,   4272,   4476,   4805,   5040,   5194,   5498,   5779,   6027,   6408,   6520,   6722,   6977,   7278,   7542,   7803,   8089, 
/* msg =    389, deg = 32 */     54,    389,    628,    912,   1252,   1411,   1842,   1946,   2314,   2433,   2584,   2842,   3295,   3455,   3814,   3975,   4273,   4477,   4806,   5041,   5195,   5499,   5780,   6028,   6409,   6521,   6723,   6978,   7279,   7543,   7804,   8090, 
/* msg =    390, deg = 32 */     55,    390,    629,    913,   1253,   1412,   1843,   1947,   2315,   2434,   2585,   2843,   3296,   3456,   3815,   3976,   4274,   4478,   4807,   5042,   5196,   5500,   5781,   6029,   6410,   6522,   6724,   6979,   7280,   7544,   7805,   8091, 
/* msg =    391, deg = 32 */     56,    391,    630,    914,   1254,   1413,   1844,   1948,   2316,   2435,   2586,   2844,   3297,   3457,   3816,   3977,   4275,   4479,   4808,   5043,   5197,   5501,   5782,   6030,   6411,   6523,   6725,   6980,   7281,   7545,   7806,   8092, 
/* msg =    392, deg = 32 */     57,    392,    631,    915,   1255,   1414,   1845,   1949,   2317,   2436,   2587,   2845,   3298,   3458,   3817,   3978,   4276,   4480,   4809,   5044,   5198,   5502,   5783,   6031,   6412,   6524,   6726,   6981,   7282,   7546,   7807,   8093, 
/* msg =    393, deg = 32 */     58,    393,    632,    916,   1256,   1415,   1846,   1950,   2318,   2437,   2588,   2846,   3299,   3459,   3818,   3979,   4277,   4481,   4810,   5045,   5199,   5503,   5784,   6032,   6413,   6525,   6727,   6982,   7283,   7547,   7808,   8094, 
/* msg =    394, deg = 32 */     59,    394,    633,    917,   1257,   1416,   1847,   1951,   2319,   2438,   2589,   2847,   3300,   3460,   3819,   3980,   4278,   4482,   4811,   5046,   5200,   5504,   5785,   6033,   6414,   6526,   6728,   6983,   7284,   7548,   7809,   8095, 
/* msg =    395, deg = 32 */     60,    395,    634,    918,   1258,   1417,   1848,   1952,   2320,   2439,   2590,   2848,   3301,   3461,   3820,   3981,   4279,   4483,   4812,   5047,   5201,   5505,   5786,   6034,   6415,   6527,   6729,   6984,   7285,   7549,   7810,   8096, 
/* msg =    396, deg = 32 */     61,    396,    635,    919,   1259,   1418,   1849,   1953,   2321,   2440,   2591,   2849,   3302,   3462,   3821,   3982,   4280,   4484,   4813,   5048,   5202,   5506,   5787,   6035,   6416,   6528,   6730,   6985,   7286,   7550,   7811,   8097, 
/* msg =    397, deg = 32 */     62,    397,    636,    920,   1260,   1419,   1850,   1954,   2322,   2441,   2592,   2850,   3303,   3463,   3822,   3983,   4281,   4485,   4814,   5049,   5203,   5507,   5788,   6036,   6417,   6529,   6731,   6986,   7287,   7551,   7812,   8098, 
/* msg =    398, deg = 32 */     63,    398,    637,    921,   1261,   1420,   1851,   1955,   2323,   2442,   2593,   2851,   3304,   3464,   3823,   3984,   4282,   4486,   4815,   5050,   5204,   5508,   5789,   6037,   6418,   6530,   6732,   6987,   7288,   7552,   7813,   8099, 
/* msg =    399, deg = 32 */     64,    399,    638,    922,   1262,   1421,   1852,   1956,   2324,   2443,   2594,   2852,   3305,   3465,   3824,   3985,   4283,   4487,   4816,   5051,   5205,   5509,   5790,   6038,   6419,   6531,   6733,   6988,   7289,   7553,   7814,   8100, 
/* msg =    400, deg = 32 */     65,    400,    639,    923,   1263,   1422,   1853,   1957,   2325,   2444,   2595,   2853,   3306,   3466,   3825,   3986,   4284,   4488,   4817,   5052,   5206,   5510,   5791,   6039,   6420,   6532,   6734,   6989,   7290,   7554,   7815,   8101, 
/* msg =    401, deg = 32 */     66,    401,    640,    924,   1264,   1423,   1854,   1958,   2326,   2445,   2596,   2854,   3307,   3467,   3826,   3987,   4285,   4489,   4818,   5053,   5207,   5511,   5792,   6040,   6421,   6533,   6735,   6990,   7291,   7555,   7816,   8102, 
/* msg =    402, deg = 32 */     67,    402,    641,    925,   1265,   1424,   1855,   1959,   2327,   2446,   2597,   2855,   3308,   3468,   3827,   3988,   4286,   4490,   4819,   5054,   5208,   5512,   5793,   6041,   6422,   6534,   6736,   6991,   7292,   7556,   7817,   8103, 
/* msg =    403, deg = 32 */     68,    403,    642,    926,   1266,   1425,   1856,   1960,   2328,   2447,   2598,   2856,   3309,   3469,   3828,   3989,   4287,   4491,   4820,   5055,   5209,   5513,   5794,   6042,   6423,   6535,   6737,   6992,   7293,   7557,   7818,   8104, 
/* msg =    404, deg = 32 */     69,    404,    643,    927,   1267,   1426,   1857,   1961,   2329,   2448,   2599,   2857,   3310,   3470,   3829,   3990,   4288,   4492,   4821,   5056,   5210,   5514,   5795,   6043,   6424,   6536,   6738,   6993,   7294,   7558,   7819,   8105, 
/* msg =    405, deg = 32 */     70,    405,    644,    928,   1268,   1427,   1858,   1962,   2330,   2449,   2600,   2858,   3311,   3471,   3830,   3991,   4289,   4493,   4822,   5057,   5211,   5515,   5796,   6044,   6425,   6537,   6739,   6994,   7295,   7559,   7820,   8106, 
/* msg =    406, deg = 32 */     71,    406,    645,    929,   1269,   1428,   1859,   1963,   2331,   2450,   2601,   2859,   3312,   3472,   3831,   3992,   4290,   4494,   4823,   5058,   5212,   5516,   5797,   6045,   6426,   6538,   6740,   6995,   7296,   7560,   7821,   8107, 
/* msg =    407, deg = 32 */     72,    407,    646,    930,   1270,   1429,   1860,   1964,   2332,   2451,   2602,   2860,   3313,   3473,   3832,   3993,   4291,   4495,   4824,   5059,   5213,   5517,   5798,   6046,   6427,   6539,   6741,   6996,   7297,   7561,   7822,   8108, 
/* msg =    408, deg = 32 */     73,    408,    647,    931,   1271,   1430,   1861,   1965,   2333,   2452,   2603,   2861,   3314,   3474,   3833,   3994,   4292,   4496,   4825,   5060,   5214,   5518,   5799,   6047,   6428,   6540,   6742,   6997,   7298,   7562,   7823,   8109, 
/* msg =    409, deg = 32 */     74,    409,    648,    932,   1272,   1431,   1862,   1966,   2334,   2453,   2604,   2862,   3315,   3475,   3834,   3995,   4293,   4497,   4826,   5061,   5215,   5519,   5800,   6048,   6429,   6541,   6743,   6998,   7299,   7563,   7824,   8110, 
/* msg =    410, deg = 32 */     75,    410,    649,    933,   1273,   1432,   1863,   1967,   2335,   2454,   2605,   2863,   3316,   3476,   3835,   3996,   4294,   4498,   4827,   5062,   5216,   5520,   5801,   6049,   6430,   6542,   6744,   6999,   7300,   7564,   7825,   8111, 
/* msg =    411, deg = 32 */     76,    411,    650,    934,   1274,   1433,   1864,   1968,   2336,   2455,   2606,   2864,   3317,   3477,   3836,   3997,   4295,   4499,   4828,   5063,   5217,   5521,   5802,   6050,   6431,   6543,   6745,   7000,   7301,   7565,   7826,   8112, 
/* msg =    412, deg = 32 */     77,    412,    651,    935,   1275,   1434,   1865,   1969,   2337,   2456,   2607,   2865,   3318,   3478,   3837,   3998,   4296,   4500,   4829,   5064,   5218,   5522,   5803,   6051,   6432,   6544,   6746,   7001,   7302,   7566,   7827,   8113, 
/* msg =    413, deg = 32 */     78,    413,    652,    936,   1276,   1435,   1866,   1970,   2338,   2457,   2608,   2866,   3319,   3479,   3838,   3999,   4297,   4501,   4830,   5065,   5219,   5523,   5804,   6052,   6433,   6545,   6747,   7002,   7303,   7567,   7828,   8114, 
/* msg =    414, deg = 32 */     79,    414,    653,    937,   1277,   1436,   1867,   1971,   2339,   2458,   2609,   2867,   3320,   3480,   3839,   4000,   4298,   4502,   4831,   5066,   5220,   5524,   5805,   6053,   6434,   6546,   6748,   7003,   7304,   7568,   7829,   8115, 
/* msg =    415, deg = 32 */     80,    415,    654,    938,   1278,   1437,   1868,   1972,   2340,   2459,   2610,   2868,   3321,   3481,   3840,   4001,   4299,   4503,   4832,   5067,   5221,   5525,   5806,   6054,   6435,   6547,   6749,   7004,   7305,   7569,   7830,   8116, 
/* msg =    416, deg = 32 */     81,    416,    655,    939,   1279,   1438,   1869,   1973,   2341,   2460,   2611,   2869,   3322,   3482,   3841,   4002,   4300,   4504,   4833,   5068,   5222,   5526,   5807,   6055,   6436,   6548,   6750,   7005,   7306,   7570,   7831,   8117, 
/* msg =    417, deg = 32 */     82,    417,    656,    940,   1280,   1439,   1870,   1974,   2342,   2461,   2612,   2870,   3323,   3483,   3842,   4003,   4301,   4505,   4834,   5069,   5223,   5527,   5808,   6056,   6437,   6549,   6751,   7006,   7307,   7571,   7832,   8118, 
/* msg =    418, deg = 32 */     83,    418,    657,    941,   1281,   1440,   1871,   1975,   2343,   2462,   2613,   2871,   3324,   3484,   3843,   4004,   4302,   4506,   4835,   5070,   5224,   5528,   5809,   6057,   6438,   6550,   6752,   7007,   7308,   7572,   7833,   8119, 
/* msg =    419, deg = 32 */     84,    419,    658,    942,   1282,   1441,   1872,   1976,   2344,   2463,   2614,   2872,   3325,   3485,   3844,   4005,   4303,   4507,   4836,   5071,   5225,   5529,   5810,   6058,   6439,   6551,   6753,   7008,   7309,   7573,   7834,   8120, 
/* msg =    420, deg = 32 */     85,    420,    659,    943,   1283,   1442,   1873,   1977,   2345,   2464,   2615,   2873,   3326,   3486,   3845,   4006,   4304,   4508,   4837,   5072,   5226,   5530,   5811,   6059,   6440,   6552,   6754,   7009,   7310,   7574,   7835,   8121, 
/* msg =    421, deg = 32 */     86,    421,    660,    944,   1284,   1443,   1874,   1978,   2346,   2465,   2616,   2874,   3327,   3487,   3846,   4007,   4305,   4509,   4838,   5073,   5227,   5531,   5812,   6060,   6441,   6553,   6755,   7010,   7311,   7575,   7836,   8122, 
/* msg =    422, deg = 32 */     87,    422,    661,    945,   1285,   1444,   1875,   1979,   2347,   2466,   2617,   2875,   3328,   3488,   3847,   4008,   4306,   4510,   4839,   5074,   5228,   5532,   5813,   6061,   6442,   6554,   6756,   7011,   7312,   7576,   7837,   8123, 
/* msg =    423, deg = 32 */     88,    423,    662,    946,   1286,   1445,   1876,   1980,   2348,   2467,   2618,   2876,   3329,   3489,   3848,   4009,   4307,   4511,   4840,   5075,   5229,   5533,   5814,   6062,   6443,   6555,   6757,   7012,   7313,   7577,   7838,   8124, 
/* msg =    424, deg = 32 */     89,    424,    663,    947,   1287,   1446,   1877,   1981,   2349,   2468,   2619,   2877,   3330,   3490,   3849,   4010,   4308,   4512,   4841,   5076,   5230,   5534,   5815,   6063,   6444,   6556,   6758,   7013,   7314,   7578,   7839,   8125, 
/* msg =    425, deg = 32 */     90,    425,    664,    948,   1288,   1447,   1878,   1982,   2350,   2469,   2620,   2878,   3331,   3491,   3850,   4011,   4309,   4513,   4842,   5077,   5231,   5535,   5816,   6064,   6445,   6557,   6759,   7014,   7315,   7579,   7840,   8126, 
/* msg =    426, deg = 32 */     91,    426,    665,    949,   1289,   1448,   1879,   1983,   2351,   2470,   2621,   2879,   3332,   3492,   3851,   4012,   4310,   4514,   4843,   5078,   5232,   5536,   5817,   6065,   6446,   6558,   6760,   7015,   7316,   7580,   7841,   8127, 
/* msg =    427, deg = 32 */     92,    427,    666,    950,   1290,   1449,   1880,   1984,   2352,   2471,   2622,   2880,   3333,   3493,   3852,   4013,   4311,   4515,   4844,   5079,   5233,   5537,   5818,   6066,   6447,   6559,   6761,   7016,   7317,   7581,   7842,   8128, 
/* msg =    428, deg = 32 */     93,    428,    667,    951,   1291,   1450,   1881,   1985,   2353,   2472,   2623,   2881,   3334,   3494,   3853,   4014,   4312,   4516,   4845,   5080,   5234,   5538,   5819,   6067,   6448,   6560,   6762,   7017,   7318,   7582,   7843,   8129, 
/* msg =    429, deg = 32 */     94,    429,    668,    952,   1292,   1451,   1882,   1986,   2354,   2473,   2624,   2882,   3335,   3495,   3854,   4015,   4313,   4517,   4846,   5081,   5235,   5539,   5820,   6068,   6449,   6561,   6763,   7018,   7319,   7583,   7844,   8130, 
/* msg =    430, deg = 32 */     95,    430,    669,    953,   1293,   1452,   1883,   1987,   2355,   2474,   2625,   2883,   3336,   3496,   3855,   4016,   4314,   4518,   4847,   5082,   5236,   5540,   5821,   6069,   6450,   6562,   6764,   7019,   7320,   7584,   7845,   8131, 
/* msg =    431, deg = 32 */     96,    431,    670,    954,   1294,   1453,   1884,   1988,   2356,   2475,   2626,   2884,   3337,   3497,   3856,   4017,   4315,   4519,   4848,   5083,   5237,   5541,   5822,   6070,   6451,   6563,   6765,   7020,   7321,   7585,   7846,   8132, 
/* msg =    432, deg = 32 */     97,    432,    671,    955,   1295,   1454,   1885,   1989,   2357,   2476,   2627,   2885,   3338,   3498,   3857,   4018,   4316,   4520,   4849,   5084,   5238,   5542,   5823,   6071,   6452,   6564,   6766,   7021,   7322,   7586,   7847,   8133, 
/* msg =    433, deg = 32 */     98,    433,    672,    956,   1296,   1455,   1886,   1990,   2358,   2477,   2628,   2886,   3339,   3499,   3858,   4019,   4317,   4521,   4850,   5085,   5239,   5543,   5824,   6072,   6453,   6565,   6767,   7022,   7323,   7587,   7848,   8134, 
/* msg =    434, deg = 32 */     99,    434,    673,    957,   1297,   1456,   1887,   1991,   2359,   2478,   2629,   2887,   3340,   3500,   3859,   4020,   4318,   4522,   4851,   5086,   5240,   5544,   5825,   6073,   6454,   6566,   6768,   7023,   7324,   7588,   7849,   8135, 
/* msg =    435, deg = 32 */    100,    435,    674,    958,   1298,   1457,   1888,   1992,   2360,   2479,   2630,   2888,   3341,   3501,   3860,   4021,   4319,   4523,   4852,   5087,   5241,   5545,   5826,   6074,   6455,   6567,   6769,   7024,   7325,   7589,   7850,   8136, 
/* msg =    436, deg = 32 */    101,    436,    675,    959,   1299,   1458,   1889,   1993,   2361,   2480,   2631,   2889,   3342,   3502,   3861,   4022,   4320,   4524,   4853,   5088,   5242,   5546,   5827,   6075,   6456,   6568,   6770,   7025,   7326,   7590,   7851,   8137, 
/* msg =    437, deg = 32 */    102,    437,    676,    960,   1300,   1459,   1890,   1994,   2362,   2481,   2632,   2890,   3343,   3503,   3862,   4023,   4321,   4525,   4854,   5089,   5243,   5547,   5828,   6076,   6457,   6569,   6771,   7026,   7327,   7591,   7852,   8138, 
/* msg =    438, deg = 32 */    103,    438,    677,    961,   1301,   1460,   1891,   1995,   2363,   2482,   2633,   2891,   3344,   3504,   3863,   4024,   4322,   4526,   4855,   5090,   5244,   5548,   5829,   6077,   6458,   6570,   6772,   7027,   7328,   7592,   7853,   8139, 
/* msg =    439, deg = 32 */    104,    439,    678,    962,   1302,   1461,   1892,   1996,   2364,   2483,   2634,   2892,   3345,   3505,   3864,   4025,   4323,   4527,   4856,   5091,   5245,   5549,   5830,   6078,   6459,   6571,   6773,   7028,   7329,   7593,   7854,   8140, 
/* msg =    440, deg = 32 */    105,    440,    679,    963,   1303,   1462,   1893,   1997,   2365,   2484,   2635,   2893,   3346,   3506,   3865,   4026,   4324,   4528,   4857,   5092,   5246,   5550,   5831,   6079,   6460,   6572,   6774,   7029,   7330,   7594,   7855,   8141, 
/* msg =    441, deg = 32 */    106,    441,    680,    964,   1304,   1463,   1894,   1998,   2366,   2485,   2636,   2894,   3347,   3507,   3866,   4027,   4325,   4529,   4858,   5093,   5247,   5551,   5832,   6080,   6461,   6573,   6775,   7030,   7331,   7595,   7856,   8142, 
/* msg =    442, deg = 32 */    107,    442,    681,    965,   1305,   1464,   1895,   1999,   2367,   2486,   2637,   2895,   3348,   3508,   3867,   4028,   4326,   4530,   4859,   5094,   5248,   5552,   5833,   6081,   6462,   6574,   6776,   7031,   7332,   7596,   7857,   8143, 
/* msg =    443, deg = 32 */    108,    443,    682,    966,   1306,   1465,   1896,   2000,   2368,   2487,   2638,   2896,   3349,   3509,   3868,   4029,   4327,   4531,   4860,   5095,   5249,   5553,   5834,   6082,   6463,   6575,   6777,   7032,   7333,   7597,   7858,   8144, 
/* msg =    444, deg = 32 */    109,    444,    683,    967,   1307,   1466,   1897,   2001,   2369,   2488,   2639,   2897,   3350,   3510,   3869,   4030,   4328,   4532,   4861,   5096,   5250,   5554,   5835,   6083,   6464,   6576,   6778,   7033,   7334,   7598,   7859,   8145, 
/* msg =    445, deg = 32 */    110,    445,    684,    968,   1308,   1467,   1898,   2002,   2370,   2489,   2640,   2898,   3351,   3511,   3870,   4031,   4329,   4533,   4862,   5097,   5251,   5555,   5836,   6084,   6465,   6577,   6779,   7034,   7335,   7599,   7860,   8146, 
/* msg =    446, deg = 32 */    111,    446,    685,    969,   1309,   1468,   1899,   2003,   2371,   2490,   2641,   2899,   3352,   3512,   3871,   4032,   4330,   4534,   4863,   5098,   5252,   5556,   5837,   6085,   6466,   6578,   6780,   7035,   7336,   7600,   7861,   8147, 
/* msg =    447, deg = 32 */    112,    447,    686,    970,   1310,   1469,   1900,   2004,   2372,   2491,   2642,   2900,   3353,   3513,   3872,   4033,   4331,   4535,   4864,   5099,   5253,   5557,   5838,   6086,   6467,   6579,   6781,   7036,   7337,   7601,   7862,   8148, 
/* msg =    448, deg = 32 */    113,    448,    687,    971,   1311,   1470,   1901,   2005,   2373,   2492,   2643,   2901,   3354,   3514,   3873,   4034,   4332,   4536,   4865,   5100,   5254,   5558,   5839,   6087,   6468,   6580,   6782,   7037,   7338,   7602,   7863,   8149, 
/* msg =    449, deg = 32 */    114,    449,    688,    972,   1312,   1471,   1902,   2006,   2374,   2493,   2644,   2902,   3355,   3515,   3874,   4035,   4333,   4537,   4866,   5101,   5255,   5559,   5840,   6088,   6469,   6581,   6783,   7038,   7339,   7603,   7864,   8150, 
/* msg =    450, deg = 32 */    115,    450,    689,    973,   1313,   1472,   1903,   2007,   2375,   2494,   2645,   2903,   3356,   3516,   3875,   4036,   4334,   4538,   4867,   5102,   5256,   5560,   5841,   6089,   6470,   6582,   6784,   7039,   7340,   7604,   7865,   8151, 
/* msg =    451, deg = 32 */    116,    451,    690,    974,   1314,   1473,   1904,   2008,   2376,   2495,   2646,   2904,   3357,   3517,   3876,   4037,   4335,   4539,   4868,   5103,   5257,   5561,   5842,   6090,   6471,   6583,   6785,   7040,   7341,   7605,   7866,   8152, 
/* msg =    452, deg = 32 */    117,    452,    691,    975,   1315,   1474,   1905,   2009,   2377,   2496,   2647,   2905,   3358,   3518,   3877,   4038,   4336,   4540,   4869,   5104,   5258,   5562,   5843,   6091,   6472,   6584,   6786,   7041,   7342,   7606,   7867,   8153, 
/* msg =    453, deg = 32 */    118,    453,    692,    976,   1316,   1475,   1906,   2010,   2378,   2497,   2648,   2906,   3359,   3519,   3878,   4039,   4337,   4541,   4870,   5105,   5259,   5563,   5844,   6092,   6473,   6585,   6787,   7042,   7343,   7607,   7868,   8154, 
/* msg =    454, deg = 32 */    119,    454,    693,    977,   1317,   1476,   1907,   2011,   2379,   2498,   2649,   2907,   3360,   3520,   3879,   4040,   4338,   4542,   4871,   5106,   5260,   5564,   5845,   6093,   6474,   6586,   6788,   7043,   7344,   7608,   7869,   8155, 
/* msg =    455, deg = 32 */    120,    455,    694,    978,   1318,   1477,   1908,   2012,   2380,   2499,   2650,   2908,   3361,   3521,   3880,   4041,   4339,   4543,   4872,   5107,   5261,   5565,   5846,   6094,   6475,   6587,   6789,   7044,   7345,   7609,   7870,   8156, 
/* msg =    456, deg = 32 */    121,    456,    695,    979,   1319,   1478,   1909,   2013,   2381,   2500,   2651,   2909,   3362,   3522,   3881,   4042,   4340,   4544,   4873,   5108,   5262,   5566,   5847,   6095,   6476,   6588,   6790,   7045,   7346,   7610,   7871,   8157, 
/* msg =    457, deg = 32 */    122,    457,    696,    980,   1320,   1479,   1910,   2014,   2382,   2501,   2652,   2910,   3363,   3523,   3882,   4043,   4341,   4545,   4874,   5109,   5263,   5567,   5848,   6096,   6477,   6589,   6791,   7046,   7347,   7611,   7872,   8158, 
/* msg =    458, deg = 32 */    123,    458,    697,    981,   1321,   1480,   1911,   2015,   2383,   2502,   2653,   2911,   3364,   3524,   3883,   4044,   4342,   4546,   4599,   4875,   5264,   5568,   5849,   6097,   6478,   6590,   6792,   7047,   7348,   7612,   7873,   8159, 
/* msg =    459, deg = 32 */    124,    459,    698,    982,   1322,   1481,   1912,   2016,   2384,   2503,   2654,   2912,   3365,   3525,   3884,   4045,   4343,   4547,   4600,   4876,   5265,   5569,   5850,   6098,   6479,   6591,   6793,   7048,   7349,   7613,   7874,   8160, 
/* msg =    460, deg = 32 */    125,    460,    699,    983,   1323,   1482,   1913,   2017,   2385,   2504,   2655,   2913,   3366,   3526,   3885,   4046,   4344,   4548,   4601,   4877,   5266,   5570,   5851,   6099,   6480,   6592,   6794,   7049,   7350,   7614,   7875,   8161, 
/* msg =    461, deg = 32 */    126,    461,    700,    984,   1324,   1483,   1914,   2018,   2386,   2505,   2656,   2914,   3367,   3527,   3886,   4047,   4345,   4549,   4602,   4878,   5267,   5571,   5852,   6100,   6481,   6593,   6795,   7050,   7351,   7615,   7876,   8162, 
/* msg =    462, deg = 32 */    127,    462,    701,    985,   1325,   1484,   1915,   2019,   2387,   2506,   2657,   2915,   3368,   3528,   3887,   4048,   4346,   4550,   4603,   4879,   5268,   5572,   5853,   6101,   6482,   6594,   6796,   7051,   7352,   7616,   7877,   8163, 
/* msg =    463, deg = 32 */    128,    463,    702,    986,   1326,   1485,   1916,   2020,   2388,   2507,   2658,   2916,   3369,   3529,   3888,   4049,   4347,   4551,   4604,   4880,   5269,   5573,   5854,   6102,   6483,   6595,   6797,   7052,   7353,   7617,   7878,   8164, 
/* msg =    464, deg = 32 */    129,    464,    703,    987,   1327,   1486,   1917,   2021,   2389,   2508,   2659,   2917,   3370,   3530,   3889,   4050,   4348,   4552,   4605,   4881,   5270,   5574,   5855,   6103,   6484,   6596,   6798,   7053,   7354,   7618,   7879,   8165, 
/* msg =    465, deg = 32 */    130,    465,    704,    988,   1328,   1487,   1918,   2022,   2390,   2509,   2660,   2918,   3371,   3531,   3890,   4051,   4349,   4553,   4606,   4882,   5271,   5575,   5856,   6104,   6485,   6597,   6799,   7054,   7355,   7619,   7880,   8166, 
/* msg =    466, deg = 32 */    131,    466,    705,    989,   1329,   1488,   1919,   2023,   2391,   2510,   2661,   2919,   3372,   3532,   3891,   4052,   4350,   4554,   4607,   4883,   5272,   5576,   5857,   6105,   6486,   6598,   6800,   7055,   7356,   7620,   7881,   8167, 
/* msg =    467, deg = 32 */    132,    467,    706,    990,   1330,   1489,   1920,   2024,   2392,   2511,   2662,   2920,   3373,   3533,   3892,   4053,   4351,   4555,   4608,   4884,   5273,   5577,   5858,   6106,   6487,   6599,   6801,   7056,   7357,   7621,   7882,   8168, 
/* msg =    468, deg = 32 */    133,    468,    707,    991,   1331,   1490,   1921,   2025,   2393,   2512,   2663,   2921,   3374,   3534,   3893,   4054,   4352,   4556,   4609,   4885,   5274,   5578,   5859,   6107,   6488,   6600,   6802,   7057,   7358,   7622,   7883,   8169, 
/* msg =    469, deg = 32 */    134,    469,    708,    992,   1332,   1491,   1922,   2026,   2394,   2513,   2664,   2922,   3375,   3535,   3894,   4055,   4353,   4557,   4610,   4886,   5275,   5579,   5860,   6108,   6489,   6601,   6803,   7058,   7359,   7623,   7884,   8170, 
/* msg =    470, deg = 32 */    135,    470,    709,    993,   1333,   1492,   1923,   2027,   2395,   2514,   2665,   2923,   3376,   3536,   3895,   4056,   4354,   4558,   4611,   4887,   5276,   5580,   5861,   6109,   6490,   6602,   6804,   7059,   7360,   7624,   7885,   8171, 
/* msg =    471, deg = 32 */    136,    471,    710,    994,   1334,   1493,   1924,   2028,   2396,   2515,   2666,   2924,   3377,   3537,   3896,   4057,   4355,   4559,   4612,   4888,   5277,   5581,   5862,   6110,   6491,   6603,   6805,   7060,   7361,   7625,   7886,   8172, 
/* msg =    472, deg = 32 */    137,    472,    711,    995,   1335,   1494,   1925,   2029,   2397,   2516,   2667,   2925,   3378,   3538,   3897,   4058,   4356,   4560,   4613,   4889,   5278,   5582,   5863,   6111,   6492,   6604,   6806,   7061,   7362,   7626,   7887,   8173, 
/* msg =    473, deg = 32 */    138,    473,    712,    996,   1336,   1495,   1926,   2030,   2398,   2517,   2668,   2926,   3379,   3539,   3898,   4059,   4357,   4561,   4614,   4890,   5279,   5583,   5864,   6112,   6493,   6605,   6807,   7062,   7363,   7627,   7888,   8174, 
/* msg =    474, deg = 32 */    139,    474,    713,    997,   1337,   1496,   1927,   2031,   2399,   2518,   2669,   2927,   3380,   3540,   3899,   4060,   4358,   4562,   4615,   4891,   5280,   5584,   5865,   6113,   6494,   6606,   6808,   7063,   7364,   7628,   7889,   8175, 
/* msg =    475, deg = 32 */    140,    475,    714,    998,   1338,   1497,   1928,   2032,   2400,   2519,   2670,   2928,   3381,   3541,   3900,   4061,   4359,   4563,   4616,   4892,   5281,   5585,   5866,   6114,   6495,   6607,   6809,   7064,   7365,   7629,   7665,   7890, 
/* msg =    476, deg = 32 */    141,    476,    715,    999,   1339,   1498,   1929,   2033,   2401,   2520,   2671,   2929,   3382,   3542,   3901,   4062,   4360,   4564,   4617,   4893,   5282,   5586,   5867,   6115,   6496,   6608,   6810,   7065,   7366,   7630,   7666,   7891, 
/* msg =    477, deg = 32 */    142,    477,    716,   1000,   1340,   1499,   1930,   2034,   2402,   2521,   2672,   2930,   3383,   3543,   3902,   4063,   4361,   4565,   4618,   4894,   5283,   5587,   5868,   6116,   6497,   6609,   6811,   7066,   7367,   7631,   7667,   7892, 
/* msg =    478, deg = 32 */    143,    478,    717,   1001,   1341,   1500,   1931,   2035,   2403,   2522,   2673,   2931,   3384,   3544,   3903,   4064,   4362,   4566,   4619,   4895,   5284,   5588,   5869,   6117,   6498,   6610,   6812,   7067,   7368,   7632,   7668,   7893, 
/* msg =    479, deg = 32 */    144,    479,    718,   1002,   1342,   1501,   1932,   2036,   2404,   2523,   2674,   2932,   3385,   3545,   3904,   4065,   4363,   4567,   4620,   4896,   5285,   5589,   5870,   6118,   6499,   6611,   6813,   7068,   7369,   7633,   7669,   7894, 
/* msg =    480, deg = 32 */    145,    480,    719,   1003,   1343,   1502,   1933,   2037,   2405,   2524,   2675,   2933,   3386,   3546,   3905,   4066,   4364,   4568,   4621,   4897,   5286,   5590,   5871,   6119,   6500,   6612,   6814,   7069,   7370,   7634,   7670,   7895, 
/* msg =    481, deg = 32 */    146,    481,    720,   1004,   1344,   1503,   1934,   2038,   2406,   2525,   2676,   2934,   3387,   3547,   3906,   4067,   4365,   4569,   4622,   4898,   5287,   5591,   5872,   6120,   6501,   6613,   6815,   7070,   7371,   7635,   7671,   7896, 
/* msg =    482, deg = 32 */    147,    482,    721,   1005,   1345,   1504,   1935,   2039,   2407,   2526,   2677,   2935,   3388,   3548,   3907,   4068,   4366,   4570,   4623,   4899,   5288,   5592,   5873,   6121,   6502,   6614,   6816,   7071,   7372,   7636,   7672,   7897, 
/* msg =    483, deg = 32 */    148,    483,    722,   1006,   1346,   1505,   1936,   2040,   2408,   2527,   2678,   2936,   3389,   3549,   3908,   4069,   4367,   4571,   4624,   4900,   5289,   5593,   5874,   6122,   6503,   6615,   6817,   7072,   7373,   7637,   7673,   7898, 
/* msg =    484, deg = 32 */    149,    484,    723,   1007,   1347,   1506,   1937,   2041,   2409,   2528,   2679,   2937,   3390,   3550,   3909,   4070,   4368,   4572,   4625,   4901,   5290,   5594,   5875,   6123,   6504,   6616,   6818,   7073,   7374,   7638,   7674,   7899, 
/* msg =    485, deg = 32 */    150,    485,    724,   1008,   1348,   1507,   1938,   2042,   2410,   2529,   2680,   2938,   3391,   3551,   3910,   4071,   4369,   4573,   4626,   4902,   5291,   5595,   5876,   6124,   6505,   6617,   6819,   7074,   7375,   7639,   7675,   7900, 
/* msg =    486, deg = 32 */    151,    486,    725,   1009,   1349,   1508,   1939,   2043,   2411,   2530,   2681,   2939,   3392,   3552,   3911,   4072,   4370,   4574,   4627,   4903,   5292,   5596,   5877,   6125,   6506,   6618,   6820,   7075,   7376,   7640,   7676,   7901, 
/* msg =    487, deg = 32 */    152,    487,    726,   1010,   1350,   1509,   1533,   1940,   2412,   2531,   2682,   2940,   3393,   3553,   3912,   4073,   4371,   4575,   4628,   4904,   5293,   5597,   5878,   6126,   6507,   6619,   6821,   7076,   7377,   7641,   7677,   7902, 
/* msg =    488, deg = 32 */    153,    488,    727,   1011,   1351,   1510,   1534,   1941,   2413,   2532,   2683,   2941,   3394,   3554,   3913,   4074,   4372,   4576,   4629,   4905,   5294,   5598,   5879,   6127,   6508,   6620,   6822,   7077,   7378,   7642,   7678,   7903, 
/* msg =    489, deg = 32 */    154,    489,    728,   1012,   1352,   1511,   1535,   1942,   2414,   2533,   2684,   2942,   3395,   3555,   3914,   4075,   4373,   4577,   4630,   4906,   5295,   5599,   5880,   6128,   6509,   6621,   6823,   7078,   7379,   7643,   7679,   7904, 
/* msg =    490, deg = 32 */    155,    490,    729,   1013,   1353,   1512,   1536,   1943,   2415,   2534,   2685,   2943,   3396,   3556,   3915,   4076,   4374,   4578,   4631,   4907,   5296,   5600,   5881,   6129,   6510,   6622,   6824,   7079,   7380,   7644,   7680,   7905, 
/* msg =    491, deg = 32 */    156,    491,    730,   1014,   1354,   1513,   1537,   1944,   2416,   2535,   2686,   2944,   3397,   3557,   3916,   4077,   4375,   4579,   4632,   4908,   5297,   5601,   5882,   6130,   6511,   6623,   6825,   7080,   7381,   7645,   7681,   7906, 
/* msg =    492, deg = 32 */    157,    492,    731,   1015,   1355,   1514,   1538,   1945,   2417,   2536,   2687,   2945,   3398,   3558,   3917,   4078,   4376,   4580,   4633,   4909,   5298,   5602,   5883,   6131,   6512,   6624,   6826,   7081,   7382,   7646,   7682,   7907, 
/* msg =    493, deg = 32 */    158,    493,    732,   1016,   1356,   1515,   1539,   1946,   2418,   2537,   2688,   2946,   3399,   3559,   3918,   4079,   4377,   4581,   4634,   4910,   5299,   5603,   5621,   5884,   6513,   6625,   6827,   7082,   7383,   7647,   7683,   7908, 
/* msg =    494, deg = 32 */    159,    494,    733,   1017,   1357,   1516,   1540,   1947,   2419,   2538,   2689,   2947,   3400,   3560,   3919,   4080,   4378,   4582,   4635,   4911,   5300,   5604,   5622,   5885,   6514,   6626,   6828,   7083,   7384,   7648,   7684,   7909, 
/* msg =    495, deg = 32 */    160,    495,    734,   1018,   1358,   1517,   1541,   1948,   2420,   2539,   2690,   2948,   3401,   3561,   3920,   4081,   4379,   4583,   4636,   4912,   5301,   5605,   5623,   5886,   6515,   6627,   6829,   7084,   7385,   7649,   7685,   7910, 
/* msg =    496, deg = 32 */    161,    496,    735,   1019,   1359,   1518,   1542,   1949,   2421,   2540,   2691,   2949,   3402,   3562,   3921,   4082,   4380,   4584,   4637,   4913,   5302,   5606,   5624,   5887,   6516,   6628,   6830,   7085,   7386,   7650,   7686,   7911, 
/* msg =    497, deg = 32 */    162,    497,    736,   1020,   1360,   1519,   1543,   1950,   2422,   2541,   2692,   2950,   3403,   3563,   3922,   4083,   4381,   4585,   4638,   4914,   5303,   5607,   5625,   5888,   6517,   6629,   6831,   7086,   7387,   7651,   7687,   7912, 
/* msg =    498, deg = 32 */    163,    498,    737,   1021,   1361,   1520,   1544,   1951,   2423,   2542,   2693,   2951,   3404,   3564,   3923,   4084,   4382,   4586,   4639,   4915,   5304,   5608,   5626,   5889,   6518,   6630,   6832,   7087,   7388,   7652,   7688,   7913, 
/* msg =    499, deg = 32 */    164,    499,    511,    738,   1362,   1521,   1545,   1952,   2424,   2543,   2694,   2952,   3405,   3565,   3924,   4085,   4383,   4587,   4640,   4916,   5305,   5609,   5627,   5890,   6519,   6631,   6833,   7088,   7389,   7653,   7689,   7914, 
/* msg =    500, deg = 32 */    165,    500,    512,    739,   1363,   1522,   1546,   1953,   2425,   2544,   2695,   2953,   3406,   3566,   3925,   4086,   4384,   4588,   4641,   4917,   5306,   5610,   5628,   5891,   6520,   6632,   6834,   7089,   7390,   7654,   7690,   7915, 
/* msg =    501, deg = 32 */    166,    501,    513,    740,   1364,   1523,   1547,   1954,   2426,   2545,   2696,   2954,   3407,   3567,   3926,   4087,   4385,   4589,   4642,   4918,   5307,   5611,   5629,   5892,   6521,   6633,   6835,   7090,   7391,   7655,   7691,   7916, 
/* msg =    502, deg = 32 */    167,    502,    514,    741,   1365,   1524,   1548,   1955,   2427,   2546,   2697,   2955,   3408,   3568,   3577,   3927,   4386,   4590,   4643,   4919,   5308,   5612,   5630,   5893,   6522,   6634,   6836,   7091,   7392,   7656,   7692,   7917, 
/* msg =    503, deg = 32 */    168,    503,    515,    742,   1366,   1525,   1549,   1956,   2428,   2547,   2698,   2956,   3409,   3569,   3578,   3928,   4387,   4591,   4644,   4920,   5309,   5613,   5631,   5894,   6523,   6635,   6837,   7092,   7393,   7657,   7693,   7918, 
/* msg =    504, deg = 32 */    169,    504,    516,    743,   1367,   1526,   1550,   1957,   2429,   2548,   2699,   2957,   3410,   3570,   3579,   3929,   4388,   4592,   4645,   4921,   5310,   5614,   5632,   5895,   6524,   6636,   6838,   7093,   7394,   7658,   7694,   7919, 
/* msg =    505, deg = 32 */    170,    505,    517,    744,   1368,   1527,   1551,   1958,   2430,   2549,   2700,   2958,   3411,   3571,   3580,   3930,   4389,   4593,   4646,   4922,   5311,   5615,   5633,   5896,   6525,   6637,   6839,   7094,   7395,   7659,   7695,   7920, 
/* msg =    506, deg = 32 */    171,    506,    518,    745,   1369,   1528,   1552,   1959,   2431,   2550,   2701,   2959,   3412,   3572,   3581,   3931,   4390,   4594,   4647,   4923,   5312,   5616,   5634,   5897,   6526,   6638,   6840,   7095,   7396,   7660,   7696,   7921, 
/* msg =    507, deg = 32 */    172,    507,    519,    746,   1370,   1529,   1553,   1960,   2432,   2551,   2702,   2960,   3413,   3573,   3582,   3932,   4391,   4595,   4648,   4924,   5313,   5617,   5635,   5898,   6527,   6639,   6841,   7096,   7397,   7661,   7697,   7922, 
/* msg =    508, deg = 32 */    173,    508,    520,    747,   1371,   1530,   1554,   1961,   2433,   2552,   2703,   2961,   3414,   3574,   3583,   3933,   4392,   4596,   4649,   4925,   5314,   5618,   5636,   5899,   6528,   6640,   6842,   7097,   7398,   7662,   7698,   7923, 
/* msg =    509, deg = 32 */    174,    509,    521,    748,   1372,   1531,   1555,   1962,   2434,   2553,   2704,   2962,   3415,   3575,   3584,   3934,   4393,   4597,   4650,   4926,   5315,   5619,   5637,   5900,   6529,   6641,   6843,   7098,   7399,   7663,   7699,   7924, 
/* msg =    510, deg = 32 */    175,    510,    522,    749,   1373,   1532,   1556,   1963,   2435,   2554,   2705,   2963,   3416,   3576,   3585,   3935,   4394,   4598,   4651,   4927,   5316,   5620,   5638,   5901,   6530,   6642,   6844,   7099,   7400,   7664,   7700,   7925, 
/* msg =    511, deg = 32 */     99,    471,    641,    984,   1220,   1457,   1793,   2011,   2259,   2464,   2837,   3036,   3114,   3462,   3770,   4022,   4361,   4518,   4901,   5050,   5206,   5489,   5812,   6007,   6376,   6599,   7007,   7113,   7205,   7536,   7857,   8079, 
/* msg =    512, deg = 32 */    100,    472,    642,    985,   1221,   1458,   1794,   2012,   2260,   2465,   2838,   3037,   3115,   3463,   3771,   4023,   4362,   4519,   4902,   5051,   5207,   5490,   5813,   6008,   6377,   6600,   7008,   7114,   7206,   7537,   7858,   8080, 
/* msg =    513, deg = 32 */    101,    473,    643,    986,   1222,   1459,   1795,   2013,   2261,   2466,   2839,   3038,   3116,   3464,   3772,   4024,   4363,   4520,   4903,   5052,   5208,   5491,   5814,   6009,   6378,   6601,   7009,   7115,   7207,   7538,   7859,   8081, 
/* msg =    514, deg = 32 */    102,    474,    644,    987,   1223,   1460,   1796,   2014,   2262,   2467,   2840,   3039,   3117,   3465,   3773,   4025,   4364,   4521,   4904,   5053,   5209,   5492,   5815,   6010,   6379,   6602,   7010,   7116,   7208,   7539,   7860,   8082, 
/* msg =    515, deg = 32 */    103,    475,    645,    988,   1224,   1461,   1797,   2015,   2263,   2468,   2841,   3040,   3118,   3466,   3774,   4026,   4365,   4522,   4905,   5054,   5210,   5493,   5816,   6011,   6380,   6603,   7011,   7117,   7209,   7540,   7861,   8083, 
/* msg =    516, deg = 32 */    104,    476,    646,    989,   1225,   1462,   1798,   2016,   2264,   2469,   2842,   3041,   3119,   3467,   3775,   4027,   4366,   4523,   4906,   5055,   5211,   5494,   5817,   6012,   6381,   6604,   7012,   7118,   7210,   7541,   7862,   8084, 
/* msg =    517, deg = 32 */    105,    477,    647,    990,   1226,   1463,   1799,   2017,   2265,   2470,   2843,   3042,   3120,   3468,   3776,   4028,   4367,   4524,   4907,   5056,   5212,   5495,   5818,   6013,   6382,   6605,   7013,   7119,   7211,   7542,   7863,   8085, 
/* msg =    518, deg = 32 */    106,    478,    648,    991,   1227,   1464,   1800,   2018,   2266,   2471,   2844,   3043,   3121,   3469,   3777,   4029,   4368,   4525,   4908,   5057,   5213,   5496,   5819,   6014,   6383,   6606,   7014,   7120,   7212,   7543,   7864,   8086, 
/* msg =    519, deg = 32 */    107,    479,    649,    992,   1228,   1465,   1801,   2019,   2267,   2472,   2845,   3044,   3122,   3470,   3778,   4030,   4369,   4526,   4909,   5058,   5214,   5497,   5820,   6015,   6384,   6607,   7015,   7121,   7213,   7544,   7865,   8087, 
/* msg =    520, deg = 32 */    108,    480,    650,    993,   1229,   1466,   1802,   2020,   2268,   2473,   2846,   3045,   3123,   3471,   3779,   4031,   4370,   4527,   4910,   5059,   5215,   5498,   5821,   6016,   6385,   6608,   7016,   7122,   7214,   7545,   7866,   8088, 
/* msg =    521, deg = 32 */    109,    481,    651,    994,   1230,   1467,   1803,   2021,   2269,   2474,   2847,   3046,   3124,   3472,   3780,   4032,   4371,   4528,   4911,   5060,   5216,   5499,   5822,   6017,   6386,   6609,   7017,   7123,   7215,   7546,   7867,   8089, 
/* msg =    522, deg = 32 */    110,    482,    652,    995,   1231,   1468,   1804,   2022,   2270,   2475,   2848,   3047,   3125,   3473,   3781,   4033,   4372,   4529,   4912,   5061,   5217,   5500,   5823,   6018,   6387,   6610,   7018,   7124,   7216,   7547,   7868,   8090, 
/* msg =    523, deg = 32 */    111,    483,    653,    996,   1232,   1469,   1805,   2023,   2271,   2476,   2849,   3048,   3126,   3474,   3782,   4034,   4373,   4530,   4913,   5062,   5218,   5501,   5824,   6019,   6388,   6611,   7019,   7125,   7217,   7548,   7869,   8091, 
/* msg =    524, deg = 32 */    112,    484,    654,    997,   1233,   1470,   1806,   2024,   2272,   2477,   2850,   3049,   3127,   3475,   3783,   4035,   4374,   4531,   4914,   5063,   5219,   5502,   5825,   6020,   6389,   6612,   7020,   7126,   7218,   7549,   7870,   8092, 
/* msg =    525, deg = 32 */    113,    485,    655,    998,   1234,   1471,   1807,   2025,   2273,   2478,   2851,   3050,   3128,   3476,   3784,   4036,   4375,   4532,   4915,   5064,   5220,   5503,   5826,   6021,   6390,   6613,   7021,   7127,   7219,   7550,   7871,   8093, 
/* msg =    526, deg = 32 */    114,    486,    656,    999,   1235,   1472,   1808,   2026,   2274,   2479,   2852,   3051,   3129,   3477,   3785,   4037,   4376,   4533,   4916,   5065,   5221,   5504,   5827,   6022,   6391,   6614,   7022,   7128,   7220,   7551,   7872,   8094, 
/* msg =    527, deg = 32 */    115,    487,    657,   1000,   1236,   1473,   1809,   2027,   2275,   2480,   2853,   3052,   3130,   3478,   3786,   4038,   4377,   4534,   4917,   5066,   5222,   5505,   5828,   6023,   6392,   6615,   7023,   7129,   7221,   7552,   7873,   8095, 
/* msg =    528, deg = 32 */    116,    488,    658,   1001,   1237,   1474,   1810,   2028,   2276,   2481,   2854,   3053,   3131,   3479,   3787,   4039,   4378,   4535,   4918,   5067,   5223,   5506,   5829,   6024,   6393,   6616,   7024,   7130,   7222,   7553,   7874,   8096, 
/* msg =    529, deg = 32 */    117,    489,    659,   1002,   1238,   1475,   1811,   2029,   2277,   2482,   2855,   3054,   3132,   3480,   3788,   4040,   4379,   4536,   4919,   5068,   5224,   5507,   5830,   6025,   6394,   6617,   7025,   7131,   7223,   7554,   7875,   8097, 
/* msg =    530, deg = 32 */    118,    490,    660,   1003,   1239,   1476,   1812,   2030,   2278,   2483,   2856,   3055,   3133,   3481,   3789,   4041,   4380,   4537,   4920,   5069,   5225,   5508,   5831,   6026,   6395,   6618,   7026,   7132,   7224,   7555,   7876,   8098, 
/* msg =    531, deg = 32 */    119,    491,    661,   1004,   1240,   1477,   1813,   2031,   2279,   2484,   2857,   3056,   3134,   3482,   3790,   4042,   4381,   4538,   4921,   5070,   5226,   5509,   5832,   6027,   6396,   6619,   7027,   7133,   7225,   7556,   7877,   8099, 
/* msg =    532, deg = 32 */    120,    492,    662,   1005,   1241,   1478,   1814,   2032,   2280,   2485,   2858,   3057,   3135,   3483,   3791,   4043,   4382,   4539,   4922,   5071,   5227,   5510,   5833,   6028,   6397,   6620,   7028,   7134,   7226,   7557,   7878,   8100, 
/* msg =    533, deg = 32 */    121,    493,    663,   1006,   1242,   1479,   1815,   2033,   2281,   2486,   2859,   3058,   3136,   3484,   3792,   4044,   4383,   4540,   4923,   5072,   5228,   5511,   5834,   6029,   6398,   6621,   7029,   7135,   7227,   7558,   7879,   8101, 
/* msg =    534, deg = 32 */    122,    494,    664,   1007,   1243,   1480,   1816,   2034,   2282,   2487,   2860,   3059,   3137,   3485,   3793,   4045,   4384,   4541,   4924,   5073,   5229,   5512,   5835,   6030,   6399,   6622,   7030,   7136,   7228,   7559,   7880,   8102, 
/* msg =    535, deg = 32 */    123,    495,    665,   1008,   1244,   1481,   1817,   2035,   2283,   2488,   2861,   3060,   3138,   3486,   3794,   4046,   4385,   4542,   4925,   5074,   5230,   5513,   5836,   6031,   6400,   6623,   7031,   7137,   7229,   7560,   7881,   8103, 
/* msg =    536, deg = 32 */    124,    496,    666,   1009,   1245,   1482,   1818,   2036,   2284,   2489,   2862,   3061,   3139,   3487,   3795,   4047,   4386,   4543,   4926,   5075,   5231,   5514,   5837,   6032,   6401,   6624,   7032,   7138,   7230,   7561,   7882,   8104, 
/* msg =    537, deg = 32 */    125,    497,    667,   1010,   1246,   1483,   1819,   2037,   2285,   2490,   2863,   3062,   3140,   3488,   3796,   4048,   4387,   4544,   4927,   5076,   5232,   5515,   5838,   6033,   6402,   6625,   7033,   7139,   7231,   7562,   7883,   8105, 
/* msg =    538, deg = 32 */    126,    498,    668,   1011,   1247,   1484,   1820,   2038,   2286,   2491,   2864,   3063,   3141,   3489,   3797,   4049,   4388,   4545,   4928,   5077,   5233,   5516,   5839,   6034,   6403,   6626,   7034,   7140,   7232,   7563,   7884,   8106, 
/* msg =    539, deg = 32 */    127,    499,    669,   1012,   1248,   1485,   1821,   2039,   2287,   2492,   2865,   3064,   3142,   3490,   3798,   4050,   4389,   4546,   4929,   5078,   5234,   5517,   5840,   6035,   6404,   6627,   7035,   7141,   7233,   7564,   7885,   8107, 
/* msg =    540, deg = 32 */    128,    500,    670,   1013,   1249,   1486,   1822,   2040,   2288,   2493,   2866,   3065,   3143,   3491,   3799,   4051,   4390,   4547,   4930,   5079,   5235,   5518,   5841,   6036,   6405,   6628,   7036,   7142,   7234,   7565,   7886,   8108, 
/* msg =    541, deg = 32 */    129,    501,    671,   1014,   1250,   1487,   1823,   2041,   2289,   2494,   2555,   2867,   3144,   3492,   3800,   4052,   4391,   4548,   4931,   5080,   5236,   5519,   5842,   6037,   6406,   6629,   7037,   7143,   7235,   7566,   7887,   8109, 
/* msg =    542, deg = 32 */    130,    502,    672,   1015,   1251,   1488,   1824,   2042,   2290,   2495,   2556,   2868,   3145,   3493,   3801,   4053,   4392,   4549,   4932,   5081,   5237,   5520,   5843,   6038,   6407,   6630,   7038,   7144,   7236,   7567,   7888,   8110, 
/* msg =    543, deg = 32 */    131,    503,    673,   1016,   1252,   1489,   1825,   2043,   2291,   2496,   2557,   2869,   3146,   3494,   3802,   4054,   4393,   4550,   4933,   5082,   5238,   5521,   5844,   6039,   6408,   6631,   7039,   7145,   7237,   7568,   7889,   8111, 
/* msg =    544, deg = 32 */    132,    504,    674,   1017,   1253,   1490,   1533,   1826,   2292,   2497,   2558,   2870,   3147,   3495,   3803,   4055,   4394,   4551,   4934,   5083,   5239,   5522,   5845,   6040,   6409,   6632,   7040,   7146,   7238,   7569,   7890,   8112, 
/* msg =    545, deg = 32 */    133,    505,    675,   1018,   1254,   1491,   1534,   1827,   2293,   2498,   2559,   2871,   3148,   3496,   3804,   4056,   4395,   4552,   4935,   5084,   5240,   5523,   5846,   6041,   6410,   6633,   7041,   7147,   7239,   7570,   7891,   8113, 
/* msg =    546, deg = 32 */    134,    506,    676,   1019,   1255,   1492,   1535,   1828,   2294,   2499,   2560,   2872,   3149,   3497,   3805,   4057,   4396,   4553,   4936,   5085,   5241,   5524,   5847,   6042,   6411,   6634,   7042,   7148,   7240,   7571,   7892,   8114, 
/* msg =    547, deg = 32 */    135,    507,    677,   1020,   1256,   1493,   1536,   1829,   2295,   2500,   2561,   2873,   3150,   3498,   3806,   4058,   4397,   4554,   4937,   5086,   5242,   5525,   5848,   6043,   6412,   6635,   7043,   7149,   7241,   7572,   7893,   8115, 
/* msg =    548, deg = 32 */    136,    508,    678,   1021,   1257,   1494,   1537,   1830,   2296,   2501,   2562,   2874,   3151,   3499,   3807,   4059,   4398,   4555,   4938,   5087,   5243,   5526,   5849,   6044,   6413,   6636,   7044,   7150,   7242,   7573,   7894,   8116, 
/* msg =    549, deg = 32 */    137,    509,    511,    679,   1258,   1495,   1538,   1831,   2297,   2502,   2563,   2875,   3152,   3500,   3808,   4060,   4399,   4556,   4939,   5088,   5244,   5527,   5850,   6045,   6414,   6637,   7045,   7151,   7243,   7574,   7895,   8117, 
/* msg =    550, deg = 32 */    138,    510,    512,    680,   1259,   1496,   1539,   1832,   2298,   2503,   2564,   2876,   3153,   3501,   3809,   4061,   4400,   4557,   4940,   5089,   5245,   5528,   5851,   6046,   6415,   6638,   7046,   7152,   7244,   7575,   7896,   8118, 
/* msg =    551, deg = 32 */      0,    139,    513,    681,   1260,   1497,   1540,   1833,   2299,   2504,   2565,   2877,   3154,   3502,   3810,   4062,   4401,   4558,   4941,   5090,   5246,   5529,   5852,   6047,   6416,   6639,   7047,   7153,   7245,   7576,   7897,   8119, 
/* msg =    552, deg = 32 */      1,    140,    514,    682,   1261,   1498,   1541,   1834,   2300,   2505,   2566,   2878,   3155,   3503,   3811,   4063,   4402,   4559,   4942,   5091,   5247,   5530,   5853,   6048,   6417,   6640,   6643,   7048,   7246,   7577,   7898,   8120, 
/* msg =    553, deg = 32 */      2,    141,    515,    683,   1262,   1499,   1542,   1835,   2301,   2506,   2567,   2879,   3156,   3504,   3812,   4064,   4403,   4560,   4943,   5092,   5248,   5531,   5854,   6049,   6418,   6641,   6644,   7049,   7247,   7578,   7899,   8121, 
/* msg =    554, deg = 32 */      3,    142,    516,    684,   1263,   1500,   1543,   1836,   2302,   2507,   2568,   2880,   3157,   3505,   3813,   4065,   4404,   4561,   4944,   5093,   5249,   5532,   5855,   6050,   6419,   6642,   6645,   7050,   7248,   7579,   7900,   8122, 
/* msg =    555, deg = 32 */      4,    143,    517,    685,   1264,   1501,   1544,   1837,   2303,   2508,   2569,   2881,   3158,   3506,   3814,   4066,   4405,   4562,   4945,   5094,   5250,   5533,   5856,   6051,   6132,   6420,   6646,   7051,   7249,   7580,   7901,   8123, 
/* msg =    556, deg = 32 */      5,    144,    518,    686,   1265,   1502,   1545,   1838,   2304,   2509,   2570,   2882,   3159,   3507,   3815,   4067,   4406,   4563,   4946,   5095,   5251,   5534,   5857,   6052,   6133,   6421,   6647,   7052,   7250,   7581,   7902,   8124, 
/* msg =    557, deg = 32 */      6,    145,    519,    687,   1266,   1503,   1546,   1839,   2305,   2510,   2571,   2883,   3160,   3508,   3816,   4068,   4407,   4564,   4947,   5096,   5252,   5535,   5858,   6053,   6134,   6422,   6648,   7053,   7251,   7582,   7903,   8125, 
/* msg =    558, deg = 32 */      7,    146,    520,    688,   1267,   1504,   1547,   1840,   2306,   2511,   2572,   2884,   3161,   3509,   3817,   4069,   4408,   4565,   4948,   5097,   5253,   5536,   5859,   6054,   6135,   6423,   6649,   7054,   7252,   7583,   7904,   8126, 
/* msg =    559, deg = 32 */      8,    147,    521,    689,   1268,   1505,   1548,   1841,   2307,   2512,   2573,   2885,   3162,   3510,   3818,   4070,   4409,   4566,   4949,   5098,   5254,   5537,   5860,   6055,   6136,   6424,   6650,   7055,   7253,   7584,   7905,   8127, 
/* msg =    560, deg = 32 */      9,    148,    522,    690,   1269,   1506,   1549,   1842,   2308,   2513,   2574,   2886,   3163,   3511,   3819,   4071,   4410,   4567,   4950,   5099,   5255,   5538,   5861,   6056,   6137,   6425,   6651,   7056,   7254,   7585,   7906,   8128, 
/* msg =    561, deg = 32 */     10,    149,    523,    691,   1270,   1507,   1550,   1843,   2309,   2514,   2575,   2887,   3164,   3512,   3820,   4072,   4411,   4568,   4951,   5100,   5256,   5539,   5862,   6057,   6138,   6426,   6652,   7057,   7255,   7586,   7907,   8129, 
/* msg =    562, deg = 32 */     11,    150,    524,    692,   1271,   1508,   1551,   1844,   2310,   2515,   2576,   2888,   3165,   3513,   3821,   4073,   4412,   4569,   4952,   5101,   5257,   5540,   5863,   6058,   6139,   6427,   6653,   7058,   7256,   7587,   7908,   8130, 
/* msg =    563, deg = 32 */     12,    151,    525,    693,   1272,   1509,   1552,   1845,   2311,   2516,   2577,   2889,   3166,   3514,   3822,   4074,   4413,   4570,   4953,   5102,   5258,   5541,   5864,   6059,   6140,   6428,   6654,   7059,   7257,   7588,   7909,   8131, 
/* msg =    564, deg = 32 */     13,    152,    526,    694,   1273,   1510,   1553,   1846,   2312,   2517,   2578,   2890,   3167,   3515,   3823,   4075,   4414,   4571,   4954,   5103,   5259,   5542,   5865,   6060,   6141,   6429,   6655,   7060,   7258,   7589,   7910,   8132, 
/* msg =    565, deg = 32 */     14,    153,    527,    695,   1274,   1511,   1554,   1847,   2313,   2518,   2579,   2891,   3168,   3516,   3824,   4076,   4415,   4572,   4955,   5104,   5260,   5543,   5866,   6061,   6142,   6430,   6656,   7061,   7259,   7590,   7911,   8133, 
/* msg =    566, deg = 32 */     15,    154,    528,    696,   1275,   1512,   1555,   1848,   2314,   2519,   2580,   2892,   3169,   3517,   3825,   4077,   4416,   4573,   4956,   5105,   5261,   5544,   5867,   6062,   6143,   6431,   6657,   7062,   7260,   7591,   7912,   8134, 
/* msg =    567, deg = 32 */     16,    155,    529,    697,   1276,   1513,   1556,   1849,   2315,   2520,   2581,   2893,   3170,   3518,   3826,   4078,   4417,   4574,   4957,   5106,   5262,   5545,   5868,   6063,   6144,   6432,   6658,   7063,   7261,   7592,   7913,   8135, 
/* msg =    568, deg = 32 */     17,    156,    530,    698,   1277,   1514,   1557,   1850,   2316,   2521,   2582,   2894,   3171,   3519,   3827,   4079,   4418,   4575,   4958,   5107,   5263,   5546,   5869,   6064,   6145,   6433,   6659,   7064,   7262,   7593,   7914,   8136, 
/* msg =    569, deg = 32 */     18,    157,    531,    699,   1278,   1515,   1558,   1851,   2317,   2522,   2583,   2895,   3172,   3520,   3828,   4080,   4419,   4576,   4959,   5108,   5264,   5547,   5870,   6065,   6146,   6434,   6660,   7065,   7263,   7594,   7915,   8137, 
/* msg =    570, deg = 32 */     19,    158,    532,    700,   1279,   1516,   1559,   1852,   2318,   2523,   2584,   2896,   3173,   3521,   3829,   4081,   4420,   4577,   4960,   5109,   5265,   5548,   5871,   6066,   6147,   6435,   6661,   7066,   7264,   7595,   7916,   8138, 
/* msg =    571, deg = 32 */     20,    159,    533,    701,   1280,   1517,   1560,   1853,   2319,   2524,   2585,   2897,   3174,   3522,   3830,   4082,   4421,   4578,   4599,   4961,   5266,   5549,   5872,   6067,   6148,   6436,   6662,   7067,   7265,   7596,   7917,   8139, 
/* msg =    572, deg = 32 */     21,    160,    534,    702,   1281,   1518,   1561,   1854,   2320,   2525,   2586,   2898,   3175,   3523,   3831,   4083,   4422,   4579,   4600,   4962,   5267,   5550,   5873,   6068,   6149,   6437,   6663,   7068,   7266,   7597,   7918,   8140, 
/* msg =    573, deg = 32 */     22,    161,    535,    703,   1282,   1519,   1562,   1855,   2321,   2526,   2587,   2899,   3176,   3524,   3832,   4084,   4423,   4580,   4601,   4963,   5268,   5551,   5874,   6069,   6150,   6438,   6664,   7069,   7267,   7598,   7919,   8141, 
/* msg =    574, deg = 32 */     23,    162,    536,    704,   1283,   1520,   1563,   1856,   2322,   2527,   2588,   2900,   3177,   3525,   3833,   4085,   4424,   4581,   4602,   4964,   5269,   5552,   5875,   6070,   6151,   6439,   6665,   7070,   7268,   7599,   7920,   8142, 
/* msg =    575, deg = 32 */     24,    163,    537,    705,   1284,   1521,   1564,   1857,   2323,   2528,   2589,   2901,   3178,   3526,   3834,   4086,   4425,   4582,   4603,   4965,   5270,   5553,   5876,   6071,   6152,   6440,   6666,   7071,   7269,   7600,   7921,   8143, 
/* msg =    576, deg = 32 */     25,    164,    538,    706,   1285,   1522,   1565,   1858,   2324,   2529,   2590,   2902,   3179,   3527,   3835,   4087,   4426,   4583,   4604,   4966,   5271,   5554,   5877,   6072,   6153,   6441,   6667,   7072,   7270,   7601,   7922,   8144, 
/* msg =    577, deg = 32 */     26,    165,    539,    707,   1286,   1523,   1566,   1859,   2325,   2530,   2591,   2903,   3180,   3528,   3577,   3836,   4427,   4584,   4605,   4967,   5272,   5555,   5878,   6073,   6154,   6442,   6668,   7073,   7271,   7602,   7923,   8145, 
/* msg =    578, deg = 32 */     27,    166,    540,    708,   1287,   1524,   1567,   1860,   2326,   2531,   2592,   2904,   3181,   3529,   3578,   3837,   4428,   4585,   4606,   4968,   5273,   5556,   5879,   6074,   6155,   6443,   6669,   7074,   7272,   7603,   7924,   8146, 
/* msg =    579, deg = 32 */     28,    167,    541,    709,   1288,   1525,   1568,   1861,   2327,   2532,   2593,   2905,   3182,   3530,   3579,   3838,   4429,   4586,   4607,   4969,   5274,   5557,   5880,   6075,   6156,   6444,   6670,   7075,   7273,   7604,   7925,   8147, 
/* msg =    580, deg = 32 */     29,    168,    542,    710,   1289,   1526,   1569,   1862,   2328,   2533,   2594,   2906,   3183,   3531,   3580,   3839,   4430,   4587,   4608,   4970,   5275,   5558,   5881,   6076,   6157,   6445,   6671,   7076,   7274,   7605,   7926,   8148, 
/* msg =    581, deg = 32 */     30,    169,    543,    711,   1290,   1527,   1570,   1863,   2329,   2534,   2595,   2907,   3184,   3532,   3581,   3840,   4431,   4588,   4609,   4971,   5276,   5559,   5882,   6077,   6158,   6446,   6672,   7077,   7275,   7606,   7927,   8149, 
/* msg =    582, deg = 32 */     31,    170,    544,    712,   1291,   1528,   1571,   1864,   2330,   2535,   2596,   2908,   3185,   3533,   3582,   3841,   4432,   4589,   4610,   4972,   5277,   5560,   5883,   6078,   6159,   6447,   6673,   7078,   7276,   7607,   7928,   8150, 
/* msg =    583, deg = 32 */     32,    171,    545,    713,   1292,   1529,   1572,   1865,   2331,   2536,   2597,   2909,   3186,   3534,   3583,   3842,   4433,   4590,   4611,   4973,   5278,   5561,   5884,   6079,   6160,   6448,   6674,   7079,   7277,   7608,   7929,   8151, 
/* msg =    584, deg = 32 */     33,    172,    546,    714,   1293,   1530,   1573,   1866,   2332,   2537,   2598,   2910,   3187,   3535,   3584,   3843,   4434,   4591,   4612,   4974,   5279,   5562,   5885,   6080,   6161,   6449,   6675,   7080,   7278,   7609,   7930,   8152, 
/* msg =    585, deg = 32 */     34,    173,    547,    715,   1294,   1531,   1574,   1867,   2333,   2538,   2599,   2911,   3188,   3536,   3585,   3844,   4435,   4592,   4613,   4975,   5280,   5563,   5886,   6081,   6162,   6450,   6676,   7081,   7279,   7610,   7931,   8153, 
/* msg =    586, deg = 32 */     35,    174,    548,    716,   1295,   1532,   1575,   1868,   2334,   2539,   2600,   2912,   3189,   3537,   3586,   3845,   4436,   4593,   4614,   4976,   5281,   5564,   5887,   6082,   6163,   6451,   6677,   7082,   7280,   7611,   7932,   8154, 
/* msg =    587, deg = 32 */     36,    175,    549,    717,   1022,   1296,   1576,   1869,   2335,   2540,   2601,   2913,   3190,   3538,   3587,   3846,   4437,   4594,   4615,   4977,   5282,   5565,   5888,   6083,   6164,   6452,   6678,   7083,   7281,   7612,   7933,   8155, 
/* msg =    588, deg = 32 */     37,    176,    550,    718,   1023,   1297,   1577,   1870,   2336,   2541,   2602,   2914,   3191,   3539,   3588,   3847,   4438,   4595,   4616,   4978,   5283,   5566,   5889,   6084,   6165,   6453,   6679,   7084,   7282,   7613,   7934,   8156, 
/* msg =    589, deg = 32 */     38,    177,    551,    719,   1024,   1298,   1578,   1871,   2337,   2542,   2603,   2915,   3192,   3540,   3589,   3848,   4439,   4596,   4617,   4979,   5284,   5567,   5890,   6085,   6166,   6454,   6680,   7085,   7283,   7614,   7935,   8157, 
/* msg =    590, deg = 32 */     39,    178,    552,    720,   1025,   1299,   1579,   1872,   2338,   2543,   2604,   2916,   3193,   3541,   3590,   3849,   4440,   4597,   4618,   4980,   5285,   5568,   5891,   6086,   6167,   6455,   6681,   7086,   7284,   7615,   7936,   8158, 
/* msg =    591, deg = 32 */     40,    179,    553,    721,   1026,   1300,   1580,   1873,   2339,   2544,   2605,   2917,   3194,   3542,   3591,   3850,   4441,   4598,   4619,   4981,   5286,   5569,   5892,   6087,   6168,   6456,   6682,   7087,   7285,   7616,   7937,   8159, 
/* msg =    592, deg = 32 */     41,    180,    554,    722,   1027,   1301,   1581,   1874,   2340,   2545,   2606,   2918,   3195,   3543,   3592,   3851,   4088,   4442,   4620,   4982,   5287,   5570,   5893,   6088,   6169,   6457,   6683,   7088,   7286,   7617,   7938,   8160, 
/* msg =    593, deg = 32 */     42,    181,    555,    723,   1028,   1302,   1582,   1875,   2341,   2546,   2607,   2919,   3196,   3544,   3593,   3852,   4089,   4443,   4621,   4983,   5288,   5571,   5894,   6089,   6170,   6458,   6684,   7089,   7287,   7618,   7939,   8161, 
/* msg =    594, deg = 32 */     43,    182,    556,    724,   1029,   1303,   1583,   1876,   2342,   2547,   2608,   2920,   3197,   3545,   3594,   3853,   4090,   4444,   4622,   4984,   5289,   5572,   5895,   6090,   6171,   6459,   6685,   7090,   7288,   7619,   7940,   8162, 
/* msg =    595, deg = 32 */     44,    183,    557,    725,   1030,   1304,   1584,   1877,   2343,   2548,   2609,   2921,   3198,   3546,   3595,   3854,   4091,   4445,   4623,   4985,   5290,   5573,   5896,   6091,   6172,   6460,   6686,   7091,   7289,   7620,   7941,   8163, 
/* msg =    596, deg = 32 */     45,    184,    558,    726,   1031,   1305,   1585,   1878,   2344,   2549,   2610,   2922,   3199,   3547,   3596,   3855,   4092,   4446,   4624,   4986,   5291,   5574,   5897,   6092,   6173,   6461,   6687,   7092,   7290,   7621,   7942,   8164, 
/* msg =    597, deg = 32 */     46,    185,    559,    727,   1032,   1306,   1586,   1879,   2345,   2550,   2611,   2923,   3200,   3548,   3597,   3856,   4093,   4447,   4625,   4987,   5292,   5575,   5898,   6093,   6174,   6462,   6688,   7093,   7291,   7622,   7943,   8165, 
/* msg =    598, deg = 32 */     47,    186,    560,    728,   1033,   1307,   1587,   1880,   2346,   2551,   2612,   2924,   3201,   3549,   3598,   3857,   4094,   4448,   4626,   4988,   5293,   5576,   5899,   6094,   6175,   6463,   6689,   7094,   7292,   7623,   7944,   8166, 
/* msg =    599, deg = 32 */     48,    187,    561,    729,   1034,   1308,   1588,   1881,   2347,   2552,   2613,   2925,   3202,   3550,   3599,   3858,   4095,   4449,   4627,   4989,   5294,   5577,   5900,   6095,   6176,   6464,   6690,   7095,   7293,   7624,   7945,   8167, 
/* msg =    600, deg = 32 */     49,    188,    562,    730,   1035,   1309,   1589,   1882,   2348,   2553,   2614,   2926,   3203,   3551,   3600,   3859,   4096,   4450,   4628,   4990,   5295,   5578,   5901,   6096,   6177,   6465,   6691,   7096,   7294,   7625,   7946,   8168, 
/* msg =    601, deg = 32 */     50,    189,    563,    731,   1036,   1310,   1590,   1883,   2349,   2554,   2615,   2927,   3204,   3552,   3601,   3860,   4097,   4451,   4629,   4991,   5296,   5579,   5902,   6097,   6178,   6466,   6692,   7097,   7295,   7626,   7947,   8169, 
/* msg =    602, deg = 32 */     51,    190,    564,    732,   1037,   1311,   1591,   1884,   2044,   2350,   2616,   2928,   3205,   3553,   3602,   3861,   4098,   4452,   4630,   4992,   5297,   5580,   5903,   6098,   6179,   6467,   6693,   7098,   7296,   7627,   7948,   8170, 
/* msg =    603, deg = 32 */     52,    191,    565,    733,   1038,   1312,   1592,   1885,   2045,   2351,   2617,   2929,   3206,   3554,   3603,   3862,   4099,   4453,   4631,   4993,   5298,   5581,   5904,   6099,   6180,   6468,   6694,   7099,   7297,   7628,   7949,   8171, 
/* msg =    604, deg = 32 */     53,    192,    566,    734,   1039,   1313,   1593,   1886,   2046,   2352,   2618,   2930,   3207,   3555,   3604,   3863,   4100,   4454,   4632,   4994,   5299,   5582,   5905,   6100,   6181,   6469,   6695,   7100,   7298,   7629,   7950,   8172, 
/* msg =    605, deg = 32 */     54,    193,    567,    735,   1040,   1314,   1594,   1887,   2047,   2353,   2619,   2931,   3208,   3556,   3605,   3864,   4101,   4455,   4633,   4995,   5300,   5583,   5906,   6101,   6182,   6470,   6696,   7101,   7299,   7630,   7951,   8173, 
/* msg =    606, deg = 32 */     55,    194,    568,    736,   1041,   1315,   1595,   1888,   2048,   2354,   2620,   2932,   3209,   3557,   3606,   3865,   4102,   4456,   4634,   4996,   5301,   5584,   5907,   6102,   6183,   6471,   6697,   7102,   7300,   7631,   7952,   8174, 
/* msg =    607, deg = 32 */     56,    195,    569,    737,   1042,   1316,   1596,   1889,   2049,   2355,   2621,   2933,   3210,   3558,   3607,   3866,   4103,   4457,   4635,   4997,   5302,   5585,   5908,   6103,   6184,   6472,   6698,   7103,   7301,   7632,   7953,   8175, 
/* msg =    608, deg = 32 */     57,    196,    570,    738,   1043,   1317,   1597,   1890,   2050,   2356,   2622,   2934,   3211,   3559,   3608,   3867,   4104,   4458,   4636,   4998,   5303,   5586,   5909,   6104,   6185,   6473,   6699,   7104,   7302,   7633,   7665,   7954, 
/* msg =    609, deg = 32 */     58,    197,    571,    739,   1044,   1318,   1598,   1891,   2051,   2357,   2623,   2935,   3212,   3560,   3609,   3868,   4105,   4459,   4637,   4999,   5304,   5587,   5910,   6105,   6186,   6474,   6700,   7105,   7303,   7634,   7666,   7955, 
/* msg =    610, deg = 32 */     59,    198,    572,    740,   1045,   1319,   1599,   1892,   2052,   2358,   2624,   2936,   3213,   3561,   3610,   3869,   4106,   4460,   4638,   5000,   5305,   5588,   5911,   6106,   6187,   6475,   6701,   7106,   7304,   7635,   7667,   7956, 
/* msg =    611, deg = 32 */     60,    199,    573,    741,   1046,   1320,   1600,   1893,   2053,   2359,   2625,   2937,   3214,   3562,   3611,   3870,   4107,   4461,   4639,   5001,   5306,   5589,   5912,   6107,   6188,   6476,   6702,   7107,   7305,   7636,   7668,   7957, 
/* msg =    612, deg = 32 */     61,    200,    574,    742,   1047,   1321,   1601,   1894,   2054,   2360,   2626,   2938,   3215,   3563,   3612,   3871,   4108,   4462,   4640,   5002,   5307,   5590,   5913,   6108,   6189,   6477,   6703,   7108,   7306,   7637,   7669,   7958, 
/* msg =    613, deg = 32 */     62,    201,    575,    743,   1048,   1322,   1602,   1895,   2055,   2361,   2627,   2939,   3216,   3564,   3613,   3872,   4109,   4463,   4641,   5003,   5308,   5591,   5914,   6109,   6190,   6478,   6704,   7109,   7307,   7638,   7670,   7959, 
/* msg =    614, deg = 32 */     63,    202,    576,    744,   1049,   1323,   1603,   1896,   2056,   2362,   2628,   2940,   3217,   3565,   3614,   3873,   4110,   4464,   4642,   5004,   5309,   5592,   5915,   6110,   6191,   6479,   6705,   7110,   7308,   7639,   7671,   7960, 
/* msg =    615, deg = 32 */     64,    203,    577,    745,   1050,   1324,   1604,   1897,   2057,   2363,   2629,   2941,   3218,   3566,   3615,   3874,   4111,   4465,   4643,   5005,   5310,   5593,   5916,   6111,   6192,   6480,   6706,   7111,   7309,   7640,   7672,   7961, 
/* msg =    616, deg = 32 */     65,    204,    578,    746,   1051,   1325,   1605,   1898,   2058,   2364,   2630,   2942,   3219,   3567,   3616,   3875,   4112,   4466,   4644,   5006,   5311,   5594,   5917,   6112,   6193,   6481,   6707,   7112,   7310,   7641,   7673,   7962, 
/* msg =    617, deg = 32 */     66,    205,    579,    747,   1052,   1326,   1606,   1899,   2059,   2365,   2631,   2943,   3220,   3568,   3617,   3876,   4113,   4467,   4645,   5007,   5312,   5595,   5918,   6113,   6194,   6482,   6708,   7113,   7311,   7642,   7674,   7963, 
/* msg =    618, deg = 32 */     67,    206,    580,    748,   1053,   1327,   1607,   1900,   2060,   2366,   2632,   2944,   3221,   3569,   3618,   3877,   4114,   4468,   4646,   5008,   5313,   5596,   5919,   6114,   6195,   6483,   6709,   7114,   7312,   7643,   7675,   7964, 
/* msg =    619, deg = 32 */     68,    207,    581,    749,   1054,   1328,   1608,   1901,   2061,   2367,   2633,   2945,   3222,   3570,   3619,   3878,   4115,   4469,   4647,   5009,   5314,   5597,   5920,   6115,   6196,   6484,   6710,   7115,   7313,   7644,   7676,   7965, 
/* msg =    620, deg = 32 */     69,    208,    582,    750,   1055,   1329,   1609,   1902,   2062,   2368,   2634,   2946,   3223,   3571,   3620,   3879,   4116,   4470,   4648,   5010,   5315,   5598,   5921,   6116,   6197,   6485,   6711,   7116,   7314,   7645,   7677,   7966, 
/* msg =    621, deg = 32 */     70,    209,    583,    751,   1056,   1330,   1610,   1903,   2063,   2369,   2635,   2947,   3224,   3572,   3621,   3880,   4117,   4471,   4649,   5011,   5316,   5599,   5922,   6117,   6198,   6486,   6712,   7117,   7315,   7646,   7678,   7967, 
/* msg =    622, deg = 32 */     71,    210,    584,    752,   1057,   1331,   1611,   1904,   2064,   2370,   2636,   2948,   3225,   3573,   3622,   3881,   4118,   4472,   4650,   5012,   5317,   5600,   5923,   6118,   6199,   6487,   6713,   7118,   7316,   7647,   7679,   7968, 
/* msg =    623, deg = 32 */     72,    211,    585,    753,   1058,   1332,   1612,   1905,   2065,   2371,   2637,   2949,   3226,   3574,   3623,   3882,   4119,   4473,   4651,   5013,   5318,   5601,   5924,   6119,   6200,   6488,   6714,   7119,   7317,   7648,   7680,   7969, 
/* msg =    624, deg = 32 */     73,    212,    586,    754,   1059,   1333,   1613,   1906,   2066,   2372,   2638,   2950,   3227,   3575,   3624,   3883,   4120,   4474,   4652,   5014,   5319,   5602,   5925,   6120,   6201,   6489,   6715,   7120,   7318,   7649,   7681,   7970, 
/* msg =    625, deg = 32 */     74,    213,    587,    755,   1060,   1334,   1614,   1907,   2067,   2373,   2639,   2951,   3228,   3576,   3625,   3884,   4121,   4475,   4653,   5015,   5320,   5603,   5926,   6121,   6202,   6490,   6716,   7121,   7319,   7650,   7682,   7971, 
/* msg =    626, deg = 32 */     75,    214,    588,    756,   1061,   1335,   1615,   1908,   2068,   2374,   2640,   2952,   3066,   3229,   3626,   3885,   4122,   4476,   4654,   5016,   5321,   5604,   5927,   6122,   6203,   6491,   6717,   7122,   7320,   7651,   7683,   7972, 
/* msg =    627, deg = 32 */     76,    215,    589,    757,   1062,   1336,   1616,   1909,   2069,   2375,   2641,   2953,   3067,   3230,   3627,   3886,   4123,   4477,   4655,   5017,   5322,   5605,   5928,   6123,   6204,   6492,   6718,   7123,   7321,   7652,   7684,   7973, 
/* msg =    628, deg = 32 */     77,    216,    590,    758,   1063,   1337,   1617,   1910,   2070,   2376,   2642,   2954,   3068,   3231,   3628,   3887,   4124,   4478,   4656,   5018,   5323,   5606,   5929,   6124,   6205,   6493,   6719,   7124,   7322,   7653,   7685,   7974, 
/* msg =    629, deg = 32 */     78,    217,    591,    759,   1064,   1338,   1618,   1911,   2071,   2377,   2643,   2955,   3069,   3232,   3629,   3888,   4125,   4479,   4657,   5019,   5324,   5607,   5930,   6125,   6206,   6494,   6720,   7125,   7323,   7654,   7686,   7975, 
/* msg =    630, deg = 32 */     79,    218,    592,    760,   1065,   1339,   1619,   1912,   2072,   2378,   2644,   2956,   3070,   3233,   3630,   3889,   4126,   4480,   4658,   5020,   5325,   5608,   5931,   6126,   6207,   6495,   6721,   7126,   7324,   7655,   7687,   7976, 
/* msg =    631, deg = 32 */     80,    219,    593,    761,   1066,   1340,   1620,   1913,   2073,   2379,   2645,   2957,   3071,   3234,   3631,   3890,   4127,   4481,   4659,   5021,   5326,   5609,   5932,   6127,   6208,   6496,   6722,   7127,   7325,   7656,   7688,   7977, 
/* msg =    632, deg = 32 */     81,    220,    594,    762,   1067,   1341,   1621,   1914,   2074,   2380,   2646,   2958,   3072,   3235,   3632,   3891,   4128,   4482,   4660,   5022,   5327,   5610,   5933,   6128,   6209,   6497,   6723,   7128,   7326,   7657,   7689,   7978, 
/* msg =    633, deg = 32 */     82,    221,    595,    763,   1068,   1342,   1622,   1915,   2075,   2381,   2647,   2959,   3073,   3236,   3633,   3892,   4129,   4483,   4661,   5023,   5328,   5611,   5934,   6129,   6210,   6498,   6724,   7129,   7327,   7658,   7690,   7979, 
/* msg =    634, deg = 32 */     83,    222,    596,    764,   1069,   1343,   1623,   1916,   2076,   2382,   2648,   2960,   3074,   3237,   3634,   3893,   4130,   4484,   4662,   5024,   5329,   5612,   5935,   6130,   6211,   6499,   6725,   7130,   7328,   7659,   7691,   7980, 
/* msg =    635, deg = 32 */     84,    223,    597,    765,   1070,   1344,   1624,   1917,   2077,   2383,   2649,   2961,   3075,   3238,   3635,   3894,   4131,   4485,   4663,   5025,   5330,   5613,   5936,   6131,   6212,   6500,   6726,   7131,   7329,   7660,   7692,   7981, 
/* msg =    636, deg = 32 */     85,    224,    598,    766,   1071,   1345,   1625,   1918,   2078,   2384,   2650,   2962,   3076,   3239,   3636,   3895,   4132,   4486,   4664,   5026,   5331,   5614,   5621,   5937,   6213,   6501,   6727,   7132,   7330,   7661,   7693,   7982, 
/* msg =    637, deg = 32 */     86,    225,    599,    767,   1072,   1346,   1626,   1919,   2079,   2385,   2651,   2963,   3077,   3240,   3637,   3896,   4133,   4487,   4665,   5027,   5332,   5615,   5622,   5938,   6214,   6502,   6728,   7133,   7331,   7662,   7694,   7983, 
/* msg =    638, deg = 32 */     87,    226,    600,    768,   1073,   1347,   1627,   1920,   2080,   2386,   2652,   2964,   3078,   3241,   3638,   3897,   4134,   4488,   4666,   5028,   5333,   5616,   5623,   5939,   6215,   6503,   6729,   7134,   7332,   7663,   7695,   7984, 
/* msg =    639, deg = 32 */     88,    227,    601,    769,   1074,   1348,   1628,   1921,   2081,   2387,   2653,   2965,   3079,   3242,   3639,   3898,   4135,   4489,   4667,   5029,   5334,   5617,   5624,   5940,   6216,   6504,   6730,   7135,   7333,   7664,   7696,   7985, 
/* msg =    640, deg = 32 */     89,    228,    602,    770,   1075,   1349,   1629,   1922,   2082,   2388,   2654,   2966,   3080,   3243,   3640,   3899,   4136,   4490,   4668,   5030,   5335,   5618,   5625,   5941,   6217,   6505,   6731,   7136,   7154,   7334,   7697,   7986, 
/* msg =    641, deg = 32 */     90,    229,    603,    771,   1076,   1350,   1630,   1923,   2083,   2389,   2655,   2967,   3081,   3244,   3641,   3900,   4137,   4491,   4669,   5031,   5336,   5619,   5626,   5942,   6218,   6506,   6732,   7137,   7155,   7335,   7698,   7987, 
/* msg =    642, deg = 32 */     91,    230,    604,    772,   1077,   1351,   1631,   1924,   2084,   2390,   2656,   2968,   3082,   3245,   3642,   3901,   4138,   4492,   4670,   5032,   5337,   5620,   5627,   5943,   6219,   6507,   6733,   7138,   7156,   7336,   7699,   7988, 
/* msg =    643, deg = 32 */     92,    231,    605,    773,   1078,   1352,   1632,   1925,   2085,   2391,   2657,   2969,   3083,   3246,   3643,   3902,   4139,   4493,   4671,   5033,   5110,   5338,   5628,   5944,   6220,   6508,   6734,   7139,   7157,   7337,   7700,   7989, 
/* msg =    644, deg = 32 */     93,    232,    606,    774,   1079,   1353,   1633,   1926,   2086,   2392,   2658,   2970,   3084,   3247,   3644,   3903,   4140,   4494,   4672,   5034,   5111,   5339,   5629,   5945,   6221,   6509,   6735,   7140,   7158,   7338,   7701,   7990, 
/* msg =    645, deg = 32 */     94,    233,    607,    775,   1080,   1354,   1634,   1927,   2087,   2393,   2659,   2971,   3085,   3248,   3645,   3904,   4141,   4495,   4673,   5035,   5112,   5340,   5630,   5946,   6222,   6510,   6736,   7141,   7159,   7339,   7702,   7991, 
/* msg =    646, deg = 32 */     95,    234,    608,    776,   1081,   1355,   1635,   1928,   2088,   2394,   2660,   2972,   3086,   3249,   3646,   3905,   4142,   4496,   4674,   5036,   5113,   5341,   5631,   5947,   6223,   6511,   6737,   7142,   7160,   7340,   7703,   7992, 
/* msg =    647, deg = 32 */     96,    235,    609,    777,   1082,   1356,   1636,   1929,   2089,   2395,   2661,   2973,   3087,   3250,   3647,   3906,   4143,   4497,   4675,   5037,   5114,   5342,   5632,   5948,   6224,   6512,   6738,   7143,   7161,   7341,   7704,   7993, 
/* msg =    648, deg = 32 */     97,    236,    610,    778,   1083,   1357,   1637,   1930,   2090,   2396,   2662,   2974,   3088,   3251,   3648,   3907,   4144,   4498,   4676,   5038,   5115,   5343,   5633,   5949,   6225,   6513,   6739,   7144,   7162,   7342,   7705,   7994, 
/* msg =    649, deg = 32 */     98,    237,    611,    779,   1084,   1358,   1638,   1931,   2091,   2397,   2663,   2975,   3089,   3252,   3649,   3908,   4145,   4499,   4677,   5039,   5116,   5344,   5634,   5950,   6226,   6514,   6740,   7145,   7163,   7343,   7706,   7995, 
/* msg =    650, deg = 32 */     99,    238,    612,    780,   1085,   1359,   1639,   1932,   2092,   2398,   2664,   2976,   3090,   3253,   3650,   3909,   4146,   4500,   4678,   5040,   5117,   5345,   5635,   5951,   6227,   6515,   6741,   7146,   7164,   7344,   7707,   7996, 
/* msg =    651, deg = 32 */    100,    239,    613,    781,   1086,   1360,   1640,   1933,   2093,   2399,   2665,   2977,   3091,   3254,   3651,   3910,   4147,   4501,   4679,   5041,   5118,   5346,   5636,   5952,   6228,   6516,   6742,   7147,   7165,   7345,   7708,   7997, 
/* msg =    652, deg = 32 */    101,    240,    614,    782,   1087,   1361,   1641,   1934,   2094,   2400,   2666,   2978,   3092,   3255,   3652,   3911,   4148,   4502,   4680,   5042,   5119,   5347,   5637,   5953,   6229,   6517,   6743,   7148,   7166,   7346,   7709,   7998, 
/* msg =    653, deg = 32 */    102,    241,    615,    783,   1088,   1362,   1642,   1935,   2095,   2401,   2667,   2979,   3093,   3256,   3653,   3912,   4149,   4503,   4681,   5043,   5120,   5348,   5638,   5954,   6230,   6518,   6744,   7149,   7167,   7347,   7710,   7999, 
/* msg =    654, deg = 32 */    103,    242,    616,    784,   1089,   1363,   1643,   1936,   2096,   2402,   2668,   2980,   3094,   3257,   3654,   3913,   4150,   4504,   4682,   5044,   5121,   5349,   5639,   5955,   6231,   6519,   6745,   7150,   7168,   7348,   7711,   8000, 
/* msg =    655, deg = 32 */    104,    243,    617,    785,   1090,   1364,   1644,   1937,   2097,   2403,   2669,   2981,   3095,   3258,   3655,   3914,   4151,   4505,   4683,   5045,   5122,   5350,   5640,   5956,   6232,   6520,   6746,   7151,   7169,   7349,   7712,   8001, 
/* msg =    656, deg = 32 */    105,    244,    618,    786,   1091,   1365,   1645,   1938,   2098,   2404,   2670,   2982,   3096,   3259,   3656,   3915,   4152,   4506,   4684,   5046,   5123,   5351,   5641,   5957,   6233,   6521,   6747,   7152,   7170,   7350,   7713,   8002, 
/* msg =    657, deg = 32 */    106,    245,    619,    787,   1092,   1366,   1646,   1939,   2099,   2405,   2671,   2983,   3097,   3260,   3657,   3916,   4153,   4507,   4685,   5047,   5124,   5352,   5642,   5958,   6234,   6522,   6748,   7153,   7171,   7351,   7714,   8003, 
/* msg =    658, deg = 32 */    107,    246,    620,    788,   1093,   1367,   1647,   1940,   2100,   2406,   2672,   2984,   3098,   3261,   3658,   3917,   4154,   4508,   4686,   5048,   5125,   5353,   5643,   5959,   6235,   6523,   6643,   6749,   7172,   7352,   7715,   8004, 
/* msg =    659, deg = 32 */    108,    247,    621,    789,   1094,   1368,   1648,   1941,   2101,   2407,   2673,   2985,   3099,   3262,   3659,   3918,   4155,   4509,   4687,   5049,   5126,   5354,   5644,   5960,   6236,   6524,   6644,   6750,   7173,   7353,   7716,   8005, 
/* msg =    660, deg = 32 */    109,    248,    622,    790,   1095,   1369,   1649,   1942,   2102,   2408,   2674,   2986,   3100,   3263,   3660,   3919,   4156,   4510,   4688,   5050,   5127,   5355,   5645,   5961,   6237,   6525,   6645,   6751,   7174,   7354,   7717,   8006, 
/* msg =    661, deg = 32 */    110,    249,    623,    791,   1096,   1370,   1650,   1943,   2103,   2409,   2675,   2987,   3101,   3264,   3661,   3920,   4157,   4511,   4689,   5051,   5128,   5356,   5646,   5962,   6238,   6526,   6646,   6752,   7175,   7355,   7718,   8007, 
/* msg =    662, deg = 32 */    111,    250,    624,    792,   1097,   1371,   1651,   1944,   2104,   2410,   2676,   2988,   3102,   3265,   3662,   3921,   4158,   4512,   4690,   5052,   5129,   5357,   5647,   5963,   6239,   6527,   6647,   6753,   7176,   7356,   7719,   8008, 
/* msg =    663, deg = 32 */    112,    251,    625,    793,   1098,   1372,   1652,   1945,   2105,   2411,   2677,   2989,   3103,   3266,   3663,   3922,   4159,   4513,   4691,   5053,   5130,   5358,   5648,   5964,   6240,   6528,   6648,   6754,   7177,   7357,   7720,   8009, 
/* msg =    664, deg = 32 */    113,    252,    626,    794,   1099,   1373,   1653,   1946,   2106,   2412,   2678,   2990,   3104,   3267,   3664,   3923,   4160,   4514,   4692,   5054,   5131,   5359,   5649,   5965,   6241,   6529,   6649,   6755,   7178,   7358,   7721,   8010, 
/* msg =    665, deg = 32 */    114,    253,    627,    795,   1100,   1374,   1654,   1947,   2107,   2413,   2679,   2991,   3105,   3268,   3665,   3924,   4161,   4515,   4693,   5055,   5132,   5360,   5650,   5966,   6242,   6530,   6650,   6756,   7179,   7359,   7722,   8011, 
/* msg =    666, deg = 32 */    115,    254,    628,    796,   1101,   1375,   1655,   1948,   2108,   2414,   2680,   2992,   3106,   3269,   3666,   3925,   4162,   4516,   4694,   5056,   5133,   5361,   5651,   5967,   6243,   6531,   6651,   6757,   7180,   7360,   7723,   8012, 
/* msg =    667, deg = 32 */    116,    255,    629,    797,   1102,   1376,   1656,   1949,   2109,   2415,   2681,   2993,   3107,   3270,   3667,   3926,   4163,   4517,   4695,   5057,   5134,   5362,   5652,   5968,   6244,   6532,   6652,   6758,   7181,   7361,   7724,   8013, 
/* msg =    668, deg = 32 */    117,    256,    630,    798,   1103,   1377,   1657,   1950,   2110,   2416,   2682,   2994,   3108,   3271,   3668,   3927,   4164,   4518,   4696,   5058,   5135,   5363,   5653,   5969,   6245,   6533,   6653,   6759,   7182,   7362,   7725,   8014, 
/* msg =    669, deg = 32 */    118,    257,    631,    799,   1104,   1378,   1658,   1951,   2111,   2417,   2683,   2995,   3109,   3272,   3669,   3928,   4165,   4519,   4697,   5059,   5136,   5364,   5654,   5970,   6246,   6534,   6654,   6760,   7183,   7363,   7726,   8015, 
/* msg =    670, deg = 32 */    119,    258,    632,    800,   1105,   1379,   1659,   1952,   2112,   2418,   2684,   2996,   3110,   3273,   3670,   3929,   4166,   4520,   4698,   5060,   5137,   5365,   5655,   5971,   6247,   6535,   6655,   6761,   7184,   7364,   7727,   8016, 
/* msg =    671, deg = 32 */    120,    259,    633,    801,   1106,   1380,   1660,   1953,   2113,   2419,   2685,   2997,   3111,   3274,   3671,   3930,   4167,   4521,   4699,   5061,   5138,   5366,   5656,   5972,   6248,   6536,   6656,   6762,   7185,   7365,   7728,   8017, 
/* msg =    672, deg = 32 */    121,    260,    634,    802,   1107,   1381,   1661,   1954,   2114,   2420,   2686,   2998,   3112,   3275,   3672,   3931,   4168,   4522,   4700,   5062,   5139,   5367,   5657,   5973,   6249,   6537,   6657,   6763,   7186,   7366,   7729,   8018, 
/* msg =    673, deg = 32 */    122,    261,    635,    803,   1108,   1382,   1662,   1955,   2115,   2421,   2687,   2999,   3113,   3276,   3673,   3932,   4169,   4523,   4701,   5063,   5140,   5368,   5658,   5974,   6250,   6538,   6658,   6764,   7187,   7367,   7730,   8019, 
/* msg =    674, deg = 32 */    123,    262,    636,    804,   1109,   1383,   1663,   1956,   2116,   2422,   2688,   3000,   3114,   3277,   3674,   3933,   4170,   4524,   4702,   5064,   5141,   5369,   5659,   5975,   6251,   6539,   6659,   6765,   7188,   7368,   7731,   8020, 
/* msg =    675, deg = 32 */    124,    263,    637,    805,   1110,   1384,   1664,   1957,   2117,   2423,   2689,   3001,   3115,   3278,   3675,   3934,   4171,   4525,   4703,   5065,   5142,   5370,   5660,   5976,   6252,   6540,   6660,   6766,   7189,   7369,   7732,   8021, 
/* msg =    676, deg = 32 */    125,    264,    638,    806,   1111,   1385,   1665,   1958,   2118,   2424,   2690,   3002,   3116,   3279,   3676,   3935,   4172,   4526,   4704,   5066,   5143,   5371,   5661,   5977,   6253,   6541,   6661,   6767,   7190,   7370,   7733,   8022, 
/* msg =    677, deg = 32 */    126,    265,    639,    807,   1112,   1386,   1666,   1959,   2119,   2425,   2691,   3003,   3117,   3280,   3677,   3936,   4173,   4527,   4705,   5067,   5144,   5372,   5662,   5978,   6254,   6542,   6662,   6768,   7191,   7371,   7734,   8023, 
/* msg =    678, deg = 32 */    127,    266,    640,    808,   1113,   1387,   1667,   1960,   2120,   2426,   2692,   3004,   3118,   3281,   3678,   3937,   4174,   4528,   4706,   5068,   5145,   5373,   5663,   5979,   6255,   6543,   6663,   6769,   7192,   7372,   7735,   8024, 
/* msg =    679, deg = 32 */    128,    267,    641,    809,   1114,   1388,   1668,   1961,   2121,   2427,   2693,   3005,   3119,   3282,   3679,   3938,   4175,   4529,   4707,   5069,   5146,   5374,   5664,   5980,   6256,   6544,   6664,   6770,   7193,   7373,   7736,   8025, 
/* msg =    680, deg = 32 */    129,    268,    642,    810,   1115,   1389,   1669,   1962,   2122,   2428,   2694,   3006,   3120,   3283,   3680,   3939,   4176,   4530,   4708,   5070,   5147,   5375,   5665,   5981,   6257,   6545,   6665,   6771,   7194,   7374,   7737,   8026, 
/* msg =    681, deg = 32 */    130,    269,    643,    811,   1116,   1390,   1670,   1963,   2123,   2429,   2695,   3007,   3121,   3284,   3681,   3940,   4177,   4531,   4709,   5071,   5148,   5376,   5666,   5982,   6258,   6546,   6666,   6772,   7195,   7375,   7738,   8027, 
/* msg =    682, deg = 32 */    131,    270,    644,    812,   1117,   1391,   1671,   1964,   2124,   2430,   2696,   3008,   3122,   3285,   3682,   3941,   4178,   4532,   4710,   5072,   5149,   5377,   5667,   5983,   6259,   6547,   6667,   6773,   7196,   7376,   7739,   8028, 
/* msg =    683, deg = 32 */    132,    271,    645,    813,   1118,   1392,   1672,   1965,   2125,   2431,   2697,   3009,   3123,   3286,   3683,   3942,   4179,   4533,   4711,   5073,   5150,   5378,   5668,   5984,   6260,   6548,   6668,   6774,   7197,   7377,   7740,   8029, 
/* msg =    684, deg = 32 */    133,    272,    646,    814,   1119,   1393,   1673,   1966,   2126,   2432,   2698,   3010,   3124,   3287,   3684,   3943,   4180,   4534,   4712,   5074,   5151,   5379,   5669,   5985,   6261,   6549,   6669,   6775,   7198,   7378,   7741,   8030, 
/* msg =    685, deg = 32 */    134,    273,    647,    815,   1120,   1394,   1674,   1967,   2127,   2433,   2699,   3011,   3125,   3288,   3685,   3944,   4181,   4535,   4713,   5075,   5152,   5380,   5670,   5986,   6262,   6550,   6670,   6776,   7199,   7379,   7742,   8031, 
/* msg =    686, deg = 32 */    135,    274,    648,    816,   1121,   1395,   1675,   1968,   2128,   2434,   2700,   3012,   3126,   3289,   3686,   3945,   4182,   4536,   4714,   5076,   5153,   5381,   5671,   5987,   6263,   6551,   6671,   6777,   7200,   7380,   7743,   8032, 
/* msg =    687, deg = 32 */    136,    275,    649,    817,   1122,   1396,   1676,   1969,   2129,   2435,   2701,   3013,   3127,   3290,   3687,   3946,   4183,   4537,   4715,   5077,   5154,   5382,   5672,   5988,   6264,   6552,   6672,   6778,   7201,   7381,   7744,   8033, 
/* msg =    688, deg = 32 */    137,    276,    650,    818,   1123,   1397,   1677,   1970,   2130,   2436,   2702,   3014,   3128,   3291,   3688,   3947,   4184,   4538,   4716,   5078,   5155,   5383,   5673,   5989,   6265,   6553,   6673,   6779,   7202,   7382,   7745,   8034, 
/* msg =    689, deg = 32 */    138,    277,    651,    819,   1124,   1398,   1678,   1971,   2131,   2437,   2703,   3015,   3129,   3292,   3689,   3948,   4185,   4539,   4717,   5079,   5156,   5384,   5674,   5990,   6266,   6554,   6674,   6780,   7203,   7383,   7746,   8035, 
/* msg =    690, deg = 32 */    139,    278,    652,    820,   1125,   1399,   1679,   1972,   2132,   2438,   2704,   3016,   3130,   3293,   3690,   3949,   4186,   4540,   4718,   5080,   5157,   5385,   5675,   5991,   6267,   6555,   6675,   6781,   7204,   7384,   7747,   8036, 
/* msg =    691, deg = 32 */    140,    279,    653,    821,   1126,   1400,   1680,   1973,   2133,   2439,   2705,   3017,   3131,   3294,   3691,   3950,   4187,   4541,   4719,   5081,   5158,   5386,   5676,   5992,   6268,   6556,   6676,   6782,   7205,   7385,   7748,   8037, 
/* msg =    692, deg = 32 */    141,    280,    654,    822,   1127,   1401,   1681,   1974,   2134,   2440,   2706,   3018,   3132,   3295,   3692,   3951,   4188,   4542,   4720,   5082,   5159,   5387,   5677,   5993,   6269,   6557,   6677,   6783,   7206,   7386,   7749,   8038, 
/* msg =    693, deg = 32 */    142,    281,    655,    823,   1128,   1402,   1682,   1975,   2135,   2441,   2707,   3019,   3133,   3296,   3693,   3952,   4189,   4543,   4721,   5083,   5160,   5388,   5678,   5994,   6270,   6558,   6678,   6784,   7207,   7387,   7750,   8039, 
/* msg =    694, deg = 32 */    143,    282,    656,    824,   1129,   1403,   1683,   1976,   2136,   2442,   2708,   3020,   3134,   3297,   3694,   3953,   4190,   4544,   4722,   5084,   5161,   5389,   5679,   5995,   6271,   6559,   6679,   6785,   7208,   7388,   7751,   8040, 
/* msg =    695, deg = 32 */    144,    283,    657,    825,   1130,   1404,   1684,   1977,   2137,   2443,   2709,   3021,   3135,   3298,   3695,   3954,   4191,   4545,   4723,   5085,   5162,   5390,   5680,   5996,   6272,   6560,   6680,   6786,   7209,   7389,   7752,   8041, 
/* msg =    696, deg = 32 */    145,    284,    658,    826,   1131,   1405,   1685,   1978,   2138,   2444,   2710,   3022,   3136,   3299,   3696,   3955,   4192,   4546,   4724,   5086,   5163,   5391,   5681,   5997,   6273,   6561,   6681,   6787,   7210,   7390,   7753,   8042, 
/* msg =    697, deg = 32 */    146,    285,    659,    827,   1132,   1406,   1686,   1979,   2139,   2445,   2711,   3023,   3137,   3300,   3697,   3956,   4193,   4547,   4725,   5087,   5164,   5392,   5682,   5998,   6274,   6562,   6682,   6788,   7211,   7391,   7754,   8043, 
/* msg =    698, deg = 32 */    147,    286,    660,    828,   1133,   1407,   1687,   1980,   2140,   2446,   2712,   3024,   3138,   3301,   3698,   3957,   4194,   4548,   4726,   5088,   5165,   5393,   5683,   5999,   6275,   6563,   6683,   6789,   7212,   7392,   7755,   8044, 
/* msg =    699, deg = 32 */    148,    287,    661,    829,   1134,   1408,   1688,   1981,   2141,   2447,   2713,   3025,   3139,   3302,   3699,   3958,   4195,   4549,   4727,   5089,   5166,   5394,   5684,   6000,   6276,   6564,   6684,   6790,   7213,   7393,   7756,   8045, 
/* msg =    700, deg = 32 */    149,    288,    662,    830,   1135,   1409,   1689,   1982,   2142,   2448,   2714,   3026,   3140,   3303,   3700,   3959,   4196,   4550,   4728,   5090,   5167,   5395,   5685,   6001,   6277,   6565,   6685,   6791,   7214,   7394,   7757,   8046, 
/* msg =    701, deg = 32 */    150,    289,    663,    831,   1136,   1410,   1690,   1983,   2143,   2449,   2715,   3027,   3141,   3304,   3701,   3960,   4197,   4551,   4729,   5091,   5168,   5396,   5686,   6002,   6278,   6566,   6686,   6792,   7215,   7395,   7758,   8047, 
/* msg =    702, deg = 32 */    151,    290,    664,    832,   1137,   1411,   1691,   1984,   2144,   2450,   2716,   3028,   3142,   3305,   3702,   3961,   4198,   4552,   4730,   5092,   5169,   5397,   5687,   6003,   6279,   6567,   6687,   6793,   7216,   7396,   7759,   8048, 
/* msg =    703, deg = 32 */    152,    291,    665,    833,   1138,   1412,   1692,   1985,   2145,   2451,   2717,   3029,   3143,   3306,   3703,   3962,   4199,   4553,   4731,   5093,   5170,   5398,   5688,   6004,   6280,   6568,   6688,   6794,   7217,   7397,   7760,   8049, 
/* msg =    704, deg = 32 */    153,    292,    666,    834,   1139,   1413,   1693,   1986,   2146,   2452,   2718,   3030,   3144,   3307,   3704,   3963,   4200,   4554,   4732,   5094,   5171,   5399,   5689,   6005,   6281,   6569,   6689,   6795,   7218,   7398,   7761,   8050, 
/* msg =    705, deg = 32 */    154,    293,    667,    835,   1140,   1414,   1694,   1987,   2147,   2453,   2719,   3031,   3145,   3308,   3705,   3964,   4201,   4555,   4733,   5095,   5172,   5400,   5690,   6006,   6282,   6570,   6690,   6796,   7219,   7399,   7762,   8051, 
/* msg =    706, deg = 32 */    155,    294,    668,    836,   1141,   1415,   1695,   1988,   2148,   2454,   2720,   3032,   3146,   3309,   3706,   3965,   4202,   4556,   4734,   5096,   5173,   5401,   5691,   6007,   6283,   6571,   6691,   6797,   7220,   7400,   7763,   8052, 
/* msg =    707, deg = 32 */    156,    295,    669,    837,   1142,   1416,   1696,   1989,   2149,   2455,   2721,   3033,   3147,   3310,   3707,   3966,   4203,   4557,   4735,   5097,   5174,   5402,   5692,   6008,   6284,   6572,   6692,   6798,   7221,   7401,   7764,   8053, 
/* msg =    708, deg = 32 */    157,    296,    670,    838,   1143,   1417,   1697,   1990,   2150,   2456,   2722,   3034,   3148,   3311,   3708,   3967,   4204,   4558,   4736,   5098,   5175,   5403,   5693,   6009,   6285,   6573,   6693,   6799,   7222,   7402,   7765,   8054, 
/* msg =    709, deg = 32 */    158,    297,    671,    839,   1144,   1418,   1698,   1991,   2151,   2457,   2723,   3035,   3149,   3312,   3709,   3968,   4205,   4559,   4737,   5099,   5176,   5404,   5694,   6010,   6286,   6574,   6694,   6800,   7223,   7403,   7766,   8055, 
/* msg =    710, deg = 32 */    159,    298,    672,    840,   1145,   1419,   1699,   1992,   2152,   2458,   2724,   3036,   3150,   3313,   3710,   3969,   4206,   4560,   4738,   5100,   5177,   5405,   5695,   6011,   6287,   6575,   6695,   6801,   7224,   7404,   7767,   8056, 
/* msg =    711, deg = 32 */    160,    299,    673,    841,   1146,   1420,   1700,   1993,   2153,   2459,   2725,   3037,   3151,   3314,   3711,   3970,   4207,   4561,   4739,   5101,   5178,   5406,   5696,   6012,   6288,   6576,   6696,   6802,   7225,   7405,   7768,   8057, 
/* msg =    712, deg = 32 */    161,    300,    674,    842,   1147,   1421,   1701,   1994,   2154,   2460,   2726,   3038,   3152,   3315,   3712,   3971,   4208,   4562,   4740,   5102,   5179,   5407,   5697,   6013,   6289,   6577,   6697,   6803,   7226,   7406,   7769,   8058, 
/* msg =    713, deg = 32 */    162,    301,    675,    843,   1148,   1422,   1702,   1995,   2155,   2461,   2727,   3039,   3153,   3316,   3713,   3972,   4209,   4563,   4741,   5103,   5180,   5408,   5698,   6014,   6290,   6578,   6698,   6804,   7227,   7407,   7770,   8059, 
/* msg =    714, deg = 32 */    163,    302,    676,    844,   1149,   1423,   1703,   1996,   2156,   2462,   2728,   3040,   3154,   3317,   3714,   3973,   4210,   4564,   4742,   5104,   5181,   5409,   5699,   6015,   6291,   6579,   6699,   6805,   7228,   7408,   7771,   8060, 
/* msg =    715, deg = 32 */    164,    303,    677,    845,   1150,   1424,   1704,   1997,   2157,   2463,   2729,   3041,   3155,   3318,   3715,   3974,   4211,   4565,   4743,   5105,   5182,   5410,   5700,   6016,   6292,   6580,   6700,   6806,   7229,   7409,   7772,   8061, 
/* msg =    716, deg = 32 */    165,    304,    678,    846,   1151,   1425,   1705,   1998,   2158,   2464,   2730,   3042,   3156,   3319,   3716,   3975,   4212,   4566,   4744,   5106,   5183,   5411,   5701,   6017,   6293,   6581,   6701,   6807,   7230,   7410,   7773,   8062, 
/* msg =    717, deg = 32 */    166,    305,    679,    847,   1152,   1426,   1706,   1999,   2159,   2465,   2731,   3043,   3157,   3320,   3717,   3976,   4213,   4567,   4745,   5107,   5184,   5412,   5702,   6018,   6294,   6582,   6702,   6808,   7231,   7411,   7774,   8063, 
/* msg =    718, deg = 32 */    167,    306,    680,    848,   1153,   1427,   1707,   2000,   2160,   2466,   2732,   3044,   3158,   3321,   3718,   3977,   4214,   4568,   4746,   5108,   5185,   5413,   5703,   6019,   6295,   6583,   6703,   6809,   7232,   7412,   7775,   8064, 
/* msg =    719, deg = 32 */    168,    307,    681,    849,   1154,   1428,   1708,   2001,   2161,   2467,   2733,   3045,   3159,   3322,   3719,   3978,   4215,   4569,   4747,   5109,   5186,   5414,   5704,   6020,   6296,   6584,   6704,   6810,   7233,   7413,   7776,   8065, 
/* msg =    720, deg = 32 */    169,    308,    682,    850,   1155,   1429,   1709,   2002,   2162,   2468,   2734,   3046,   3160,   3323,   3720,   3979,   4216,   4570,   4599,   4748,   5187,   5415,   5705,   6021,   6297,   6585,   6705,   6811,   7234,   7414,   7777,   8066, 
/* msg =    721, deg = 32 */    170,    309,    683,    851,   1156,   1430,   1710,   2003,   2163,   2469,   2735,   3047,   3161,   3324,   3721,   3980,   4217,   4571,   4600,   4749,   5188,   5416,   5706,   6022,   6298,   6586,   6706,   6812,   7235,   7415,   7778,   8067, 
/* msg =    722, deg = 32 */    171,    310,    684,    852,   1157,   1431,   1711,   2004,   2164,   2470,   2736,   3048,   3162,   3325,   3722,   3981,   4218,   4572,   4601,   4750,   5189,   5417,   5707,   6023,   6299,   6587,   6707,   6813,   7236,   7416,   7779,   8068, 
/* msg =    723, deg = 32 */    172,    311,    685,    853,   1158,   1432,   1712,   2005,   2165,   2471,   2737,   3049,   3163,   3326,   3723,   3982,   4219,   4573,   4602,   4751,   5190,   5418,   5708,   6024,   6300,   6588,   6708,   6814,   7237,   7417,   7780,   8069, 
/* msg =    724, deg = 32 */    173,    312,    686,    854,   1159,   1433,   1713,   2006,   2166,   2472,   2738,   3050,   3164,   3327,   3724,   3983,   4220,   4574,   4603,   4752,   5191,   5419,   5709,   6025,   6301,   6589,   6709,   6815,   7238,   7418,   7781,   8070, 
/* msg =    725, deg = 32 */    174,    313,    687,    855,   1160,   1434,   1714,   2007,   2167,   2473,   2739,   3051,   3165,   3328,   3725,   3984,   4221,   4575,   4604,   4753,   5192,   5420,   5710,   6026,   6302,   6590,   6710,   6816,   7239,   7419,   7782,   8071, 
/* msg =    726, deg = 32 */    175,    314,    688,    856,   1161,   1435,   1715,   2008,   2168,   2474,   2740,   3052,   3166,   3329,   3726,   3985,   4222,   4576,   4605,   4754,   5193,   5421,   5711,   6027,   6303,   6591,   6711,   6817,   7240,   7420,   7783,   8072, 
/* msg =    727, deg = 32 */    176,    315,    689,    857,   1162,   1436,   1716,   2009,   2169,   2475,   2741,   3053,   3167,   3330,   3727,   3986,   4223,   4577,   4606,   4755,   5194,   5422,   5712,   6028,   6304,   6592,   6712,   6818,   7241,   7421,   7784,   8073, 
/* msg =    728, deg = 32 */    177,    316,    690,    858,   1163,   1437,   1717,   2010,   2170,   2476,   2742,   3054,   3168,   3331,   3728,   3987,   4224,   4578,   4607,   4756,   5195,   5423,   5713,   6029,   6305,   6593,   6713,   6819,   7242,   7422,   7785,   8074, 
/* msg =    729, deg = 32 */    178,    317,    691,    859,   1164,   1438,   1718,   2011,   2171,   2477,   2743,   3055,   3169,   3332,   3729,   3988,   4225,   4579,   4608,   4757,   5196,   5424,   5714,   6030,   6306,   6594,   6714,   6820,   7243,   7423,   7786,   8075, 
/* msg =    730, deg = 32 */    179,    318,    692,    860,   1165,   1439,   1719,   2012,   2172,   2478,   2744,   3056,   3170,   3333,   3730,   3989,   4226,   4580,   4609,   4758,   5197,   5425,   5715,   6031,   6307,   6595,   6715,   6821,   7244,   7424,   7787,   8076, 
/* msg =    731, deg = 32 */    180,    319,    693,    861,   1166,   1440,   1720,   2013,   2173,   2479,   2745,   3057,   3171,   3334,   3731,   3990,   4227,   4581,   4610,   4759,   5198,   5426,   5716,   6032,   6308,   6596,   6716,   6822,   7245,   7425,   7788,   8077, 
/* msg =    732, deg = 32 */    181,    320,    694,    862,   1167,   1441,   1721,   2014,   2174,   2480,   2746,   3058,   3172,   3335,   3732,   3991,   4228,   4582,   4611,   4760,   5199,   5427,   5717,   6033,   6309,   6597,   6717,   6823,   7246,   7426,   7789,   8078, 
/* msg =    733, deg = 32 */    182,    321,    695,    863,   1168,   1442,   1722,   2015,   2175,   2481,   2747,   3059,   3173,   3336,   3733,   3992,   4229,   4583,   4612,   4761,   5200,   5428,   5718,   6034,   6310,   6598,   6718,   6824,   7247,   7427,   7790,   8079, 
/* msg =    734, deg = 32 */    183,    322,    696,    864,   1169,   1443,   1723,   2016,   2176,   2482,   2748,   3060,   3174,   3337,   3734,   3993,   4230,   4584,   4613,   4762,   5201,   5429,   5719,   6035,   6311,   6599,   6719,   6825,   7248,   7428,   7791,   8080, 
/* msg =    735, deg = 32 */    184,    323,    697,    865,   1170,   1444,   1724,   2017,   2177,   2483,   2749,   3061,   3175,   3338,   3735,   3994,   4231,   4585,   4614,   4763,   5202,   5430,   5720,   6036,   6312,   6600,   6720,   6826,   7249,   7429,   7792,   8081, 
/* msg =    736, deg = 32 */    185,    324,    698,    866,   1171,   1445,   1725,   2018,   2178,   2484,   2750,   3062,   3176,   3339,   3736,   3995,   4232,   4586,   4615,   4764,   5203,   5431,   5721,   6037,   6313,   6601,   6721,   6827,   7250,   7430,   7793,   8082, 
/* msg =    737, deg = 32 */    186,    325,    699,    867,   1172,   1446,   1726,   2019,   2179,   2485,   2751,   3063,   3177,   3340,   3737,   3996,   4233,   4587,   4616,   4765,   5204,   5432,   5722,   6038,   6314,   6602,   6722,   6828,   7251,   7431,   7794,   8083, 
/* msg =    738, deg = 32 */    187,    326,    700,    868,   1173,   1447,   1727,   2020,   2180,   2486,   2752,   3064,   3178,   3341,   3738,   3997,   4234,   4588,   4617,   4766,   5205,   5433,   5723,   6039,   6315,   6603,   6723,   6829,   7252,   7432,   7795,   8084, 
/* msg =    739, deg = 32 */    188,    327,    701,    869,   1174,   1448,   1728,   2021,   2181,   2487,   2753,   3065,   3179,   3342,   3739,   3998,   4235,   4589,   4618,   4767,   5206,   5434,   5724,   6040,   6316,   6604,   6724,   6830,   7253,   7433,   7796,   8085, 
/* msg =    740, deg = 32 */    189,    328,    702,    870,   1175,   1449,   1729,   2022,   2182,   2488,   2555,   2754,   3180,   3343,   3740,   3999,   4236,   4590,   4619,   4768,   5207,   5435,   5725,   6041,   6317,   6605,   6725,   6831,   7254,   7434,   7797,   8086, 
/* msg =    741, deg = 32 */    190,    329,    703,    871,   1176,   1450,   1730,   2023,   2183,   2489,   2556,   2755,   3181,   3344,   3741,   4000,   4237,   4591,   4620,   4769,   5208,   5436,   5726,   6042,   6318,   6606,   6726,   6832,   7255,   7435,   7798,   8087, 
/* msg =    742, deg = 32 */    191,    330,    704,    872,   1177,   1451,   1731,   2024,   2184,   2490,   2557,   2756,   3182,   3345,   3742,   4001,   4238,   4592,   4621,   4770,   5209,   5437,   5727,   6043,   6319,   6607,   6727,   6833,   7256,   7436,   7799,   8088, 
/* msg =    743, deg = 32 */    192,    331,    705,    873,   1178,   1452,   1732,   2025,   2185,   2491,   2558,   2757,   3183,   3346,   3743,   4002,   4239,   4593,   4622,   4771,   5210,   5438,   5728,   6044,   6320,   6608,   6728,   6834,   7257,   7437,   7800,   8089, 
/* msg =    744, deg = 32 */    193,    332,    706,    874,   1179,   1453,   1733,   2026,   2186,   2492,   2559,   2758,   3184,   3347,   3744,   4003,   4240,   4594,   4623,   4772,   5211,   5439,   5729,   6045,   6321,   6609,   6729,   6835,   7258,   7438,   7801,   8090, 
/* msg =    745, deg = 32 */    194,    333,    707,    875,   1180,   1454,   1734,   2027,   2187,   2493,   2560,   2759,   3185,   3348,   3745,   4004,   4241,   4595,   4624,   4773,   5212,   5440,   5730,   6046,   6322,   6610,   6730,   6836,   7259,   7439,   7802,   8091, 
/* msg =    746, deg = 32 */    195,    334,    708,    876,   1181,   1455,   1735,   2028,   2188,   2494,   2561,   2760,   3186,   3349,   3746,   4005,   4242,   4596,   4625,   4774,   5213,   5441,   5731,   6047,   6323,   6611,   6731,   6837,   7260,   7440,   7803,   8092, 
/* msg =    747, deg = 32 */    196,    335,    709,    877,   1182,   1456,   1736,   2029,   2189,   2495,   2562,   2761,   3187,   3350,   3747,   4006,   4243,   4597,   4626,   4775,   5214,   5442,   5732,   6048,   6324,   6612,   6732,   6838,   7261,   7441,   7804,   8093, 
/* msg =    748, deg = 32 */    197,    336,    710,    878,   1183,   1457,   1737,   2030,   2190,   2496,   2563,   2762,   3188,   3351,   3748,   4007,   4244,   4598,   4627,   4776,   5215,   5443,   5733,   6049,   6325,   6613,   6733,   6839,   7262,   7442,   7805,   8094, 
/* msg =    749, deg = 32 */    198,    337,    711,    879,   1184,   1458,   1738,   2031,   2191,   2497,   2564,   2763,   3189,   3352,   3749,   4008,   4088,   4245,   4628,   4777,   5216,   5444,   5734,   6050,   6326,   6614,   6734,   6840,   7263,   7443,   7806,   8095, 
/* msg =    750, deg = 32 */    199,    338,    712,    880,   1185,   1459,   1739,   2032,   2192,   2498,   2565,   2764,   3190,   3353,   3750,   4009,   4089,   4246,   4629,   4778,   5217,   5445,   5735,   6051,   6327,   6615,   6735,   6841,   7264,   7444,   7807,   8096, 
/* msg =    751, deg = 32 */    200,    339,    713,    881,   1186,   1460,   1740,   2033,   2193,   2499,   2566,   2765,   3191,   3354,   3751,   4010,   4090,   4247,   4630,   4779,   5218,   5446,   5736,   6052,   6328,   6616,   6736,   6842,   7265,   7445,   7808,   8097, 
/* msg =    752, deg = 32 */    201,    340,    714,    882,   1187,   1461,   1741,   2034,   2194,   2500,   2567,   2766,   3192,   3355,   3752,   4011,   4091,   4248,   4631,   4780,   5219,   5447,   5737,   6053,   6329,   6617,   6737,   6843,   7266,   7446,   7809,   8098, 
/* msg =    753, deg = 32 */    202,    341,    715,    883,   1188,   1462,   1742,   2035,   2195,   2501,   2568,   2767,   3193,   3356,   3753,   4012,   4092,   4249,   4632,   4781,   5220,   5448,   5738,   6054,   6330,   6618,   6738,   6844,   7267,   7447,   7810,   8099, 
/* msg =    754, deg = 32 */    203,    342,    716,    884,   1189,   1463,   1743,   2036,   2196,   2502,   2569,   2768,   3194,   3357,   3754,   4013,   4093,   4250,   4633,   4782,   5221,   5449,   5739,   6055,   6331,   6619,   6739,   6845,   7268,   7448,   7811,   8100, 
/* msg =    755, deg = 32 */    204,    343,    717,    885,   1190,   1464,   1744,   2037,   2197,   2503,   2570,   2769,   3195,   3358,   3755,   4014,   4094,   4251,   4634,   4783,   5222,   5450,   5740,   6056,   6332,   6620,   6740,   6846,   7269,   7449,   7812,   8101, 
/* msg =    756, deg = 32 */    205,    344,    718,    886,   1191,   1465,   1745,   2038,   2198,   2504,   2571,   2770,   3196,   3359,   3756,   4015,   4095,   4252,   4635,   4784,   5223,   5451,   5741,   6057,   6333,   6621,   6741,   6847,   7270,   7450,   7813,   8102, 
/* msg =    757, deg = 32 */    206,    345,    719,    887,   1192,   1466,   1746,   2039,   2199,   2505,   2572,   2771,   3197,   3360,   3757,   4016,   4096,   4253,   4636,   4785,   5224,   5452,   5742,   6058,   6334,   6622,   6742,   6848,   7271,   7451,   7814,   8103, 
/* msg =    758, deg = 32 */    207,    346,    720,    888,   1193,   1467,   1747,   2040,   2200,   2506,   2573,   2772,   3198,   3361,   3758,   4017,   4097,   4254,   4637,   4786,   5225,   5453,   5743,   6059,   6335,   6623,   6743,   6849,   7272,   7452,   7815,   8104, 
/* msg =    759, deg = 32 */    208,    347,    721,    889,   1194,   1468,   1748,   2041,   2201,   2507,   2574,   2773,   3199,   3362,   3759,   4018,   4098,   4255,   4638,   4787,   5226,   5454,   5744,   6060,   6336,   6624,   6744,   6850,   7273,   7453,   7816,   8105, 
/* msg =    760, deg = 32 */    209,    348,    722,    890,   1195,   1469,   1749,   2042,   2202,   2508,   2575,   2774,   3200,   3363,   3760,   4019,   4099,   4256,   4639,   4788,   5227,   5455,   5745,   6061,   6337,   6625,   6745,   6851,   7274,   7454,   7817,   8106, 
/* msg =    761, deg = 32 */    210,    349,    723,    891,   1196,   1470,   1750,   2043,   2203,   2509,   2576,   2775,   3201,   3364,   3761,   4020,   4100,   4257,   4640,   4789,   5228,   5456,   5746,   6062,   6338,   6626,   6746,   6852,   7275,   7455,   7818,   8107, 
/* msg =    762, deg = 32 */    211,    350,    724,    892,   1197,   1471,   1533,   1751,   2204,   2510,   2577,   2776,   3202,   3365,   3762,   4021,   4101,   4258,   4641,   4790,   5229,   5457,   5747,   6063,   6339,   6627,   6747,   6853,   7276,   7456,   7819,   8108, 
/* msg =    763, deg = 32 */    212,    351,    725,    893,   1198,   1472,   1534,   1752,   2205,   2511,   2578,   2777,   3203,   3366,   3763,   4022,   4102,   4259,   4642,   4791,   5230,   5458,   5748,   6064,   6340,   6628,   6748,   6854,   7277,   7457,   7820,   8109, 
/* msg =    764, deg = 32 */    213,    352,    726,    894,   1199,   1473,   1535,   1753,   2206,   2512,   2579,   2778,   3204,   3367,   3764,   4023,   4103,   4260,   4643,   4792,   5231,   5459,   5749,   6065,   6341,   6629,   6749,   6855,   7278,   7458,   7821,   8110, 
/* msg =    765, deg = 32 */    214,    353,    727,    895,   1200,   1474,   1536,   1754,   2207,   2513,   2580,   2779,   3205,   3368,   3765,   4024,   4104,   4261,   4644,   4793,   5232,   5460,   5750,   6066,   6342,   6630,   6750,   6856,   7279,   7459,   7822,   8111, 
/* msg =    766, deg = 32 */    215,    354,    728,    896,   1201,   1475,   1537,   1755,   2208,   2514,   2581,   2780,   3206,   3369,   3766,   4025,   4105,   4262,   4645,   4794,   5233,   5461,   5751,   6067,   6343,   6631,   6751,   6857,   7280,   7460,   7823,   8112, 
/* msg =    767, deg = 32 */    216,    355,    729,    897,   1202,   1476,   1538,   1756,   2209,   2515,   2582,   2781,   3207,   3370,   3767,   4026,   4106,   4263,   4646,   4795,   5234,   5462,   5752,   6068,   6344,   6632,   6752,   6858,   7281,   7461,   7824,   8113, 
/* msg =    768, deg = 32 */    217,    356,    730,    898,   1203,   1477,   1539,   1757,   2210,   2516,   2583,   2782,   3208,   3371,   3768,   4027,   4107,   4264,   4647,   4796,   5235,   5463,   5753,   6069,   6345,   6633,   6753,   6859,   7282,   7462,   7825,   8114, 
/* msg =    769, deg = 32 */    218,    357,    731,    899,   1204,   1478,   1540,   1758,   2211,   2517,   2584,   2783,   3209,   3372,   3769,   4028,   4108,   4265,   4648,   4797,   5236,   5464,   5754,   6070,   6346,   6634,   6754,   6860,   7283,   7463,   7826,   8115, 
/* msg =    770, deg = 32 */    219,    358,    732,    900,   1205,   1479,   1541,   1759,   2212,   2518,   2585,   2784,   3210,   3373,   3770,   4029,   4109,   4266,   4649,   4798,   5237,   5465,   5755,   6071,   6347,   6635,   6755,   6861,   7284,   7464,   7827,   8116, 
/* msg =    771, deg = 32 */    220,    359,    733,    901,   1206,   1480,   1542,   1760,   2213,   2519,   2586,   2785,   3211,   3374,   3771,   4030,   4110,   4267,   4650,   4799,   5238,   5466,   5756,   6072,   6348,   6636,   6756,   6862,   7285,   7465,   7828,   8117, 
/* msg =    772, deg = 32 */    221,    360,    734,    902,   1207,   1481,   1543,   1761,   2214,   2520,   2587,   2786,   3212,   3375,   3772,   4031,   4111,   4268,   4651,   4800,   5239,   5467,   5757,   6073,   6349,   6637,   6757,   6863,   7286,   7466,   7829,   8118, 
/* msg =    773, deg = 32 */    222,    361,    735,    903,   1208,   1482,   1544,   1762,   2215,   2521,   2588,   2787,   3213,   3376,   3773,   4032,   4112,   4269,   4652,   4801,   5240,   5468,   5758,   6074,   6350,   6638,   6758,   6864,   7287,   7467,   7830,   8119, 
/* msg =    774, deg = 32 */    223,    362,    736,    904,   1209,   1483,   1545,   1763,   2216,   2522,   2589,   2788,   3214,   3377,   3774,   4033,   4113,   4270,   4653,   4802,   5241,   5469,   5759,   6075,   6351,   6639,   6759,   6865,   7288,   7468,   7831,   8120, 
/* msg =    775, deg = 32 */    224,    363,    737,    905,   1210,   1484,   1546,   1764,   2217,   2523,   2590,   2789,   3215,   3378,   3775,   4034,   4114,   4271,   4654,   4803,   5242,   5470,   5760,   6076,   6352,   6640,   6760,   6866,   7289,   7469,   7832,   8121, 
/* msg =    776, deg = 32 */    225,    364,    738,    906,   1211,   1485,   1547,   1765,   2218,   2524,   2591,   2790,   3216,   3379,   3776,   4035,   4115,   4272,   4655,   4804,   5243,   5471,   5761,   6077,   6353,   6641,   6761,   6867,   7290,   7470,   7833,   8122, 
/* msg =    777, deg = 32 */    226,    365,    739,    907,   1212,   1486,   1548,   1766,   2219,   2525,   2592,   2791,   3217,   3380,   3777,   4036,   4116,   4273,   4656,   4805,   5244,   5472,   5762,   6078,   6354,   6642,   6762,   6868,   7291,   7471,   7834,   8123, 
/* msg =    778, deg = 32 */    227,    366,    740,    908,   1213,   1487,   1549,   1767,   2220,   2526,   2593,   2792,   3218,   3381,   3778,   4037,   4117,   4274,   4657,   4806,   5245,   5473,   5763,   6079,   6132,   6355,   6763,   6869,   7292,   7472,   7835,   8124, 
/* msg =    779, deg = 32 */    228,    367,    741,    909,   1214,   1488,   1550,   1768,   2221,   2527,   2594,   2793,   3219,   3382,   3779,   4038,   4118,   4275,   4658,   4807,   5246,   5474,   5764,   6080,   6133,   6356,   6764,   6870,   7293,   7473,   7836,   8125, 
/* msg =    780, deg = 32 */    229,    368,    742,    910,   1215,   1489,   1551,   1769,   2222,   2528,   2595,   2794,   3220,   3383,   3780,   4039,   4119,   4276,   4659,   4808,   5247,   5475,   5765,   6081,   6134,   6357,   6765,   6871,   7294,   7474,   7837,   8126, 
/* msg =    781, deg = 32 */    230,    369,    743,    911,   1216,   1490,   1552,   1770,   2223,   2529,   2596,   2795,   3221,   3384,   3781,   4040,   4120,   4277,   4660,   4809,   5248,   5476,   5766,   6082,   6135,   6358,   6766,   6872,   7295,   7475,   7838,   8127, 
/* msg =    782, deg = 32 */    231,    370,    744,    912,   1217,   1491,   1553,   1771,   2224,   2530,   2597,   2796,   3222,   3385,   3782,   4041,   4121,   4278,   4661,   4810,   5249,   5477,   5767,   6083,   6136,   6359,   6767,   6873,   7296,   7476,   7839,   8128, 
/* msg =    783, deg = 32 */    232,    371,    745,    913,   1218,   1492,   1554,   1772,   2225,   2531,   2598,   2797,   3223,   3386,   3783,   4042,   4122,   4279,   4662,   4811,   5250,   5478,   5768,   6084,   6137,   6360,   6768,   6874,   7297,   7477,   7840,   8129, 
/* msg =    784, deg = 32 */    233,    372,    746,    914,   1219,   1493,   1555,   1773,   2226,   2532,   2599,   2798,   3224,   3387,   3784,   4043,   4123,   4280,   4663,   4812,   5251,   5479,   5769,   6085,   6138,   6361,   6769,   6875,   7298,   7478,   7841,   8130, 
/* msg =    785, deg = 32 */    234,    373,    747,    915,   1220,   1494,   1556,   1774,   2227,   2533,   2600,   2799,   3225,   3388,   3785,   4044,   4124,   4281,   4664,   4813,   5252,   5480,   5770,   6086,   6139,   6362,   6770,   6876,   7299,   7479,   7842,   8131, 
/* msg =    786, deg = 32 */    235,    374,    748,    916,   1221,   1495,   1557,   1775,   2228,   2534,   2601,   2800,   3226,   3389,   3786,   4045,   4125,   4282,   4665,   4814,   5253,   5481,   5771,   6087,   6140,   6363,   6771,   6877,   7300,   7480,   7843,   8132, 
/* msg =    787, deg = 32 */    236,    375,    749,    917,   1222,   1496,   1558,   1776,   2229,   2535,   2602,   2801,   3227,   3390,   3787,   4046,   4126,   4283,   4666,   4815,   5254,   5482,   5772,   6088,   6141,   6364,   6772,   6878,   7301,   7481,   7844,   8133, 
/* msg =    788, deg = 32 */    237,    376,    750,    918,   1223,   1497,   1559,   1777,   2230,   2536,   2603,   2802,   3228,   3391,   3788,   4047,   4127,   4284,   4667,   4816,   5255,   5483,   5773,   6089,   6142,   6365,   6773,   6879,   7302,   7482,   7845,   8134, 
/* msg =    789, deg = 32 */    238,    377,    751,    919,   1224,   1498,   1560,   1778,   2231,   2537,   2604,   2803,   3229,   3392,   3789,   4048,   4128,   4285,   4668,   4817,   5256,   5484,   5774,   6090,   6143,   6366,   6774,   6880,   7303,   7483,   7846,   8135, 
/* msg =    790, deg = 32 */    239,    378,    752,    920,   1225,   1499,   1561,   1779,   2232,   2538,   2605,   2804,   3230,   3393,   3790,   4049,   4129,   4286,   4669,   4818,   5257,   5485,   5775,   6091,   6144,   6367,   6775,   6881,   7304,   7484,   7847,   8136, 
/* msg =    791, deg = 32 */    240,    379,    753,    921,   1226,   1500,   1562,   1780,   2233,   2539,   2606,   2805,   3231,   3394,   3791,   4050,   4130,   4287,   4670,   4819,   5258,   5486,   5776,   6092,   6145,   6368,   6776,   6882,   7305,   7485,   7848,   8137, 
/* msg =    792, deg = 32 */    241,    380,    754,    922,   1227,   1501,   1563,   1781,   2234,   2540,   2607,   2806,   3232,   3395,   3792,   4051,   4131,   4288,   4671,   4820,   5259,   5487,   5777,   6093,   6146,   6369,   6777,   6883,   7306,   7486,   7849,   8138, 
/* msg =    793, deg = 32 */    242,    381,    755,    923,   1228,   1502,   1564,   1782,   2235,   2541,   2608,   2807,   3233,   3396,   3793,   4052,   4132,   4289,   4672,   4821,   5260,   5488,   5778,   6094,   6147,   6370,   6778,   6884,   7307,   7487,   7850,   8139, 
/* msg =    794, deg = 32 */    243,    382,    756,    924,   1229,   1503,   1565,   1783,   2236,   2542,   2609,   2808,   3234,   3397,   3794,   4053,   4133,   4290,   4673,   4822,   5261,   5489,   5779,   6095,   6148,   6371,   6779,   6885,   7308,   7488,   7851,   8140, 
/* msg =    795, deg = 32 */    244,    383,    757,    925,   1230,   1504,   1566,   1784,   2237,   2543,   2610,   2809,   3235,   3398,   3795,   4054,   4134,   4291,   4674,   4823,   5262,   5490,   5780,   6096,   6149,   6372,   6780,   6886,   7309,   7489,   7852,   8141, 
/* msg =    796, deg = 32 */    245,    384,    758,    926,   1231,   1505,   1567,   1785,   2238,   2544,   2611,   2810,   3236,   3399,   3796,   4055,   4135,   4292,   4675,   4824,   5263,   5491,   5781,   6097,   6150,   6373,   6781,   6887,   7310,   7490,   7853,   8142, 
/* msg =    797, deg = 32 */    246,    385,    759,    927,   1232,   1506,   1568,   1786,   2239,   2545,   2612,   2811,   3237,   3400,   3797,   4056,   4136,   4293,   4676,   4825,   5264,   5492,   5782,   6098,   6151,   6374,   6782,   6888,   7311,   7491,   7854,   8143, 
/* msg =    798, deg = 32 */    247,    386,    760,    928,   1233,   1507,   1569,   1787,   2240,   2546,   2613,   2812,   3238,   3401,   3798,   4057,   4137,   4294,   4677,   4826,   5265,   5493,   5783,   6099,   6152,   6375,   6783,   6889,   7312,   7492,   7855,   8144, 
/* msg =    799, deg = 32 */    248,    387,    761,    929,   1234,   1508,   1570,   1788,   2241,   2547,   2614,   2813,   3239,   3402,   3799,   4058,   4138,   4295,   4678,   4827,   5266,   5494,   5784,   6100,   6153,   6376,   6784,   6890,   7313,   7493,   7856,   8145, 
/* msg =    800, deg = 32 */    249,    388,    762,    930,   1235,   1509,   1571,   1789,   2242,   2548,   2615,   2814,   3240,   3403,   3800,   4059,   4139,   4296,   4679,   4828,   5267,   5495,   5785,   6101,   6154,   6377,   6785,   6891,   7314,   7494,   7857,   8146, 
/* msg =    801, deg = 32 */    250,    389,    763,    931,   1236,   1510,   1572,   1790,   2243,   2549,   2616,   2815,   3241,   3404,   3801,   4060,   4140,   4297,   4680,   4829,   5268,   5496,   5786,   6102,   6155,   6378,   6786,   6892,   7315,   7495,   7858,   8147, 
/* msg =    802, deg = 32 */    251,    390,    764,    932,   1237,   1511,   1573,   1791,   2244,   2550,   2617,   2816,   3242,   3405,   3802,   4061,   4141,   4298,   4681,   4830,   5269,   5497,   5787,   6103,   6156,   6379,   6787,   6893,   7316,   7496,   7859,   8148, 
/* msg =    803, deg = 32 */    252,    391,    765,    933,   1238,   1512,   1574,   1792,   2245,   2551,   2618,   2817,   3243,   3406,   3803,   4062,   4142,   4299,   4682,   4831,   5270,   5498,   5788,   6104,   6157,   6380,   6788,   6894,   7317,   7497,   7860,   8149, 
/* msg =    804, deg = 32 */    253,    392,    766,    934,   1239,   1513,   1575,   1793,   2246,   2552,   2619,   2818,   3244,   3407,   3804,   4063,   4143,   4300,   4683,   4832,   5271,   5499,   5789,   6105,   6158,   6381,   6789,   6895,   7318,   7498,   7861,   8150, 
/* msg =    805, deg = 32 */    254,    393,    767,    935,   1240,   1514,   1576,   1794,   2247,   2553,   2620,   2819,   3245,   3408,   3805,   4064,   4144,   4301,   4684,   4833,   5272,   5500,   5790,   6106,   6159,   6382,   6790,   6896,   7319,   7499,   7862,   8151, 
/* msg =    806, deg = 32 */    255,    394,    768,    936,   1241,   1515,   1577,   1795,   2248,   2554,   2621,   2820,   3246,   3409,   3806,   4065,   4145,   4302,   4685,   4834,   5273,   5501,   5791,   6107,   6160,   6383,   6791,   6897,   7320,   7500,   7863,   8152, 
/* msg =    807, deg = 32 */    256,    395,    769,    937,   1242,   1516,   1578,   1796,   2044,   2249,   2622,   2821,   3247,   3410,   3807,   4066,   4146,   4303,   4686,   4835,   5274,   5502,   5792,   6108,   6161,   6384,   6792,   6898,   7321,   7501,   7864,   8153, 
/* msg =    808, deg = 32 */    257,    396,    770,    938,   1243,   1517,   1579,   1797,   2045,   2250,   2623,   2822,   3248,   3411,   3808,   4067,   4147,   4304,   4687,   4836,   5275,   5503,   5793,   6109,   6162,   6385,   6793,   6899,   7322,   7502,   7865,   8154, 
/* msg =    809, deg = 32 */    258,    397,    771,    939,   1244,   1518,   1580,   1798,   2046,   2251,   2624,   2823,   3249,   3412,   3809,   4068,   4148,   4305,   4688,   4837,   5276,   5504,   5794,   6110,   6163,   6386,   6794,   6900,   7323,   7503,   7866,   8155, 
/* msg =    810, deg = 32 */    259,    398,    772,    940,   1245,   1519,   1581,   1799,   2047,   2252,   2625,   2824,   3250,   3413,   3810,   4069,   4149,   4306,   4689,   4838,   5277,   5505,   5795,   6111,   6164,   6387,   6795,   6901,   7324,   7504,   7867,   8156, 
/* msg =    811, deg = 32 */    260,    399,    773,    941,   1246,   1520,   1582,   1800,   2048,   2253,   2626,   2825,   3251,   3414,   3811,   4070,   4150,   4307,   4690,   4839,   5278,   5506,   5796,   6112,   6165,   6388,   6796,   6902,   7325,   7505,   7868,   8157, 
/* msg =    812, deg = 32 */    261,    400,    774,    942,   1247,   1521,   1583,   1801,   2049,   2254,   2627,   2826,   3252,   3415,   3812,   4071,   4151,   4308,   4691,   4840,   5279,   5507,   5797,   6113,   6166,   6389,   6797,   6903,   7326,   7506,   7869,   8158, 
/* msg =    813, deg = 32 */    262,    401,    775,    943,   1248,   1522,   1584,   1802,   2050,   2255,   2628,   2827,   3253,   3416,   3813,   4072,   4152,   4309,   4692,   4841,   5280,   5508,   5798,   6114,   6167,   6390,   6798,   6904,   7327,   7507,   7870,   8159, 
/* msg =    814, deg = 32 */    263,    402,    776,    944,   1249,   1523,   1585,   1803,   2051,   2256,   2629,   2828,   3254,   3417,   3814,   4073,   4153,   4310,   4693,   4842,   5281,   5509,   5799,   6115,   6168,   6391,   6799,   6905,   7328,   7508,   7871,   8160, 
/* msg =    815, deg = 32 */    264,    403,    777,    945,   1250,   1524,   1586,   1804,   2052,   2257,   2630,   2829,   3255,   3418,   3815,   4074,   4154,   4311,   4694,   4843,   5282,   5510,   5800,   6116,   6169,   6392,   6800,   6906,   7329,   7509,   7872,   8161, 
/* msg =    816, deg = 32 */    265,    404,    778,    946,   1251,   1525,   1587,   1805,   2053,   2258,   2631,   2830,   3256,   3419,   3816,   4075,   4155,   4312,   4695,   4844,   5283,   5511,   5801,   6117,   6170,   6393,   6801,   6907,   7330,   7510,   7873,   8162, 
/* msg =    817, deg = 32 */    266,    405,    779,    947,   1252,   1526,   1588,   1806,   2054,   2259,   2632,   2831,   3257,   3420,   3817,   4076,   4156,   4313,   4696,   4845,   5284,   5512,   5802,   6118,   6171,   6394,   6802,   6908,   7331,   7511,   7874,   8163, 
/* msg =    818, deg = 32 */    267,    406,    780,    948,   1253,   1527,   1589,   1807,   2055,   2260,   2633,   2832,   3258,   3421,   3818,   4077,   4157,   4314,   4697,   4846,   5285,   5513,   5803,   6119,   6172,   6395,   6803,   6909,   7332,   7512,   7875,   8164, 
/* msg =    819, deg = 32 */    268,    407,    781,    949,   1254,   1528,   1590,   1808,   2056,   2261,   2634,   2833,   3259,   3422,   3819,   4078,   4158,   4315,   4698,   4847,   5286,   5514,   5804,   6120,   6173,   6396,   6804,   6910,   7333,   7513,   7876,   8165, 
/* msg =    820, deg = 32 */    269,    408,    782,    950,   1255,   1529,   1591,   1809,   2057,   2262,   2635,   2834,   3260,   3423,   3820,   4079,   4159,   4316,   4699,   4848,   5287,   5515,   5805,   6121,   6174,   6397,   6805,   6911,   7334,   7514,   7877,   8166, 
/* msg =    821, deg = 32 */    270,    409,    783,    951,   1256,   1530,   1592,   1810,   2058,   2263,   2636,   2835,   3261,   3424,   3821,   4080,   4160,   4317,   4700,   4849,   5288,   5516,   5806,   6122,   6175,   6398,   6806,   6912,   7335,   7515,   7878,   8167, 
/* msg =    822, deg = 32 */    271,    410,    784,    952,   1257,   1531,   1593,   1811,   2059,   2264,   2637,   2836,   3262,   3425,   3822,   4081,   4161,   4318,   4701,   4850,   5289,   5517,   5807,   6123,   6176,   6399,   6807,   6913,   7336,   7516,   7879,   8168, 
/* msg =    823, deg = 32 */    272,    411,    785,    953,   1258,   1532,   1594,   1812,   2060,   2265,   2638,   2837,   3263,   3426,   3823,   4082,   4162,   4319,   4702,   4851,   5290,   5518,   5808,   6124,   6177,   6400,   6808,   6914,   7337,   7517,   7880,   8169, 
/* msg =    824, deg = 32 */    273,    412,    786,    954,   1022,   1259,   1595,   1813,   2061,   2266,   2639,   2838,   3264,   3427,   3824,   4083,   4163,   4320,   4703,   4852,   5291,   5519,   5809,   6125,   6178,   6401,   6809,   6915,   7338,   7518,   7881,   8170, 
/* msg =    825, deg = 32 */    274,    413,    787,    955,   1023,   1260,   1596,   1814,   2062,   2267,   2640,   2839,   3265,   3428,   3825,   4084,   4164,   4321,   4704,   4853,   5292,   5520,   5810,   6126,   6179,   6402,   6810,   6916,   7339,   7519,   7882,   8171, 
/* msg =    826, deg = 32 */    275,    414,    788,    956,   1024,   1261,   1597,   1815,   2063,   2268,   2641,   2840,   3266,   3429,   3826,   4085,   4165,   4322,   4705,   4854,   5293,   5521,   5811,   6127,   6180,   6403,   6811,   6917,   7340,   7520,   7883,   8172, 
/* msg =    827, deg = 32 */    276,    415,    789,    957,   1025,   1262,   1598,   1816,   2064,   2269,   2642,   2841,   3267,   3430,   3827,   4086,   4166,   4323,   4706,   4855,   5294,   5522,   5812,   6128,   6181,   6404,   6812,   6918,   7341,   7521,   7884,   8173, 
/* msg =    828, deg = 32 */    277,    416,    790,    958,   1026,   1263,   1599,   1817,   2065,   2270,   2643,   2842,   3268,   3431,   3828,   4087,   4167,   4324,   4707,   4856,   5295,   5523,   5813,   6129,   6182,   6405,   6813,   6919,   7342,   7522,   7885,   8174, 
/* msg =    829, deg = 32 */    278,    417,    791,    959,   1027,   1264,   1600,   1818,   2066,   2271,   2644,   2843,   3269,   3432,   3577,   3829,   4168,   4325,   4708,   4857,   5296,   5524,   5814,   6130,   6183,   6406,   6814,   6920,   7343,   7523,   7886,   8175, 
/* msg =    830, deg = 32 */    279,    418,    792,    960,   1028,   1265,   1601,   1819,   2067,   2272,   2645,   2844,   3270,   3433,   3578,   3830,   4169,   4326,   4709,   4858,   5297,   5525,   5815,   6131,   6184,   6407,   6815,   6921,   7344,   7524,   7665,   7887, 
/* msg =    831, deg = 32 */    280,    419,    793,    961,   1029,   1266,   1602,   1820,   2068,   2273,   2646,   2845,   3271,   3434,   3579,   3831,   4170,   4327,   4710,   4859,   5298,   5526,   5621,   5816,   6185,   6408,   6816,   6922,   7345,   7525,   7666,   7888, 
/* msg =    832, deg = 32 */    281,    420,    794,    962,   1030,   1267,   1603,   1821,   2069,   2274,   2647,   2846,   3272,   3435,   3580,   3832,   4171,   4328,   4711,   4860,   5299,   5527,   5622,   5817,   6186,   6409,   6817,   6923,   7346,   7526,   7667,   7889, 
/* msg =    833, deg = 32 */    282,    421,    795,    963,   1031,   1268,   1604,   1822,   2070,   2275,   2648,   2847,   3273,   3436,   3581,   3833,   4172,   4329,   4712,   4861,   5300,   5528,   5623,   5818,   6187,   6410,   6818,   6924,   7347,   7527,   7668,   7890, 
/* msg =    834, deg = 32 */    283,    422,    796,    964,   1032,   1269,   1605,   1823,   2071,   2276,   2649,   2848,   3274,   3437,   3582,   3834,   4173,   4330,   4713,   4862,   5301,   5529,   5624,   5819,   6188,   6411,   6819,   6925,   7348,   7528,   7669,   7891, 
/* msg =    835, deg = 32 */    284,    423,    797,    965,   1033,   1270,   1606,   1824,   2072,   2277,   2650,   2849,   3275,   3438,   3583,   3835,   4174,   4331,   4714,   4863,   5302,   5530,   5625,   5820,   6189,   6412,   6820,   6926,   7349,   7529,   7670,   7892, 
/* msg =    836, deg = 32 */    285,    424,    798,    966,   1034,   1271,   1607,   1825,   2073,   2278,   2651,   2850,   3276,   3439,   3584,   3836,   4175,   4332,   4715,   4864,   5303,   5531,   5626,   5821,   6190,   6413,   6821,   6927,   7350,   7530,   7671,   7893, 
/* msg =    837, deg = 32 */    286,    425,    799,    967,   1035,   1272,   1608,   1826,   2074,   2279,   2652,   2851,   3277,   3440,   3585,   3837,   4176,   4333,   4716,   4865,   5304,   5532,   5627,   5822,   6191,   6414,   6822,   6928,   7351,   7531,   7672,   7894, 
/* msg =    838, deg = 32 */    287,    426,    800,    968,   1036,   1273,   1609,   1827,   2075,   2280,   2653,   2852,   3278,   3441,   3586,   3838,   4177,   4334,   4717,   4866,   5305,   5533,   5628,   5823,   6192,   6415,   6823,   6929,   7352,   7532,   7673,   7895, 
/* msg =    839, deg = 32 */    288,    427,    801,    969,   1037,   1274,   1610,   1828,   2076,   2281,   2654,   2853,   3279,   3442,   3587,   3839,   4178,   4335,   4718,   4867,   5306,   5534,   5629,   5824,   6193,   6416,   6824,   6930,   7353,   7533,   7674,   7896, 
/* msg =    840, deg = 32 */    289,    428,    802,    970,   1038,   1275,   1611,   1829,   2077,   2282,   2655,   2854,   3280,   3443,   3588,   3840,   4179,   4336,   4719,   4868,   5307,   5535,   5630,   5825,   6194,   6417,   6825,   6931,   7354,   7534,   7675,   7897, 
/* msg =    841, deg = 32 */    290,    429,    803,    971,   1039,   1276,   1612,   1830,   2078,   2283,   2656,   2855,   3281,   3444,   3589,   3841,   4180,   4337,   4720,   4869,   5308,   5536,   5631,   5826,   6195,   6418,   6826,   6932,   7355,   7535,   7676,   7898, 
/* msg =    842, deg = 32 */    291,    430,    804,    972,   1040,   1277,   1613,   1831,   2079,   2284,   2657,   2856,   3282,   3445,   3590,   3842,   4181,   4338,   4721,   4870,   5309,   5537,   5632,   5827,   6196,   6419,   6827,   6933,   7356,   7536,   7677,   7899, 
/* msg =    843, deg = 32 */    292,    431,    805,    973,   1041,   1278,   1614,   1832,   2080,   2285,   2658,   2857,   3283,   3446,   3591,   3843,   4182,   4339,   4722,   4871,   5310,   5538,   5633,   5828,   6197,   6420,   6828,   6934,   7357,   7537,   7678,   7900, 
/* msg =    844, deg = 32 */    293,    432,    806,    974,   1042,   1279,   1615,   1833,   2081,   2286,   2659,   2858,   3284,   3447,   3592,   3844,   4183,   4340,   4723,   4872,   5311,   5539,   5634,   5829,   6198,   6421,   6829,   6935,   7358,   7538,   7679,   7901, 
/* msg =    845, deg = 32 */    294,    433,    807,    975,   1043,   1280,   1616,   1834,   2082,   2287,   2660,   2859,   3285,   3448,   3593,   3845,   4184,   4341,   4724,   4873,   5312,   5540,   5635,   5830,   6199,   6422,   6830,   6936,   7359,   7539,   7680,   7902, 
/* msg =    846, deg = 32 */    295,    434,    808,    976,   1044,   1281,   1617,   1835,   2083,   2288,   2661,   2860,   3286,   3449,   3594,   3846,   4185,   4342,   4725,   4874,   5313,   5541,   5636,   5831,   6200,   6423,   6831,   6937,   7360,   7540,   7681,   7903, 
/* msg =    847, deg = 32 */    296,    435,    809,    977,   1045,   1282,   1618,   1836,   2084,   2289,   2662,   2861,   3287,   3450,   3595,   3847,   4186,   4343,   4726,   4875,   5314,   5542,   5637,   5832,   6201,   6424,   6832,   6938,   7361,   7541,   7682,   7904, 
/* msg =    848, deg = 32 */    297,    436,    810,    978,   1046,   1283,   1619,   1837,   2085,   2290,   2663,   2862,   3288,   3451,   3596,   3848,   4187,   4344,   4727,   4876,   5315,   5543,   5638,   5833,   6202,   6425,   6833,   6939,   7362,   7542,   7683,   7905, 
/* msg =    849, deg = 32 */    298,    437,    811,    979,   1047,   1284,   1620,   1838,   2086,   2291,   2664,   2863,   3289,   3452,   3597,   3849,   4188,   4345,   4728,   4877,   5316,   5544,   5639,   5834,   6203,   6426,   6834,   6940,   7363,   7543,   7684,   7906, 
/* msg =    850, deg = 32 */    299,    438,    812,    980,   1048,   1285,   1621,   1839,   2087,   2292,   2665,   2864,   3290,   3453,   3598,   3850,   4189,   4346,   4729,   4878,   5317,   5545,   5640,   5835,   6204,   6427,   6835,   6941,   7364,   7544,   7685,   7907, 
/* msg =    851, deg = 32 */    300,    439,    813,    981,   1049,   1286,   1622,   1840,   2088,   2293,   2666,   2865,   3291,   3454,   3599,   3851,   4190,   4347,   4730,   4879,   5318,   5546,   5641,   5836,   6205,   6428,   6836,   6942,   7365,   7545,   7686,   7908, 
/* msg =    852, deg = 32 */    301,    440,    814,    982,   1050,   1287,   1623,   1841,   2089,   2294,   2667,   2866,   3292,   3455,   3600,   3852,   4191,   4348,   4731,   4880,   5319,   5547,   5642,   5837,   6206,   6429,   6837,   6943,   7366,   7546,   7687,   7909, 
/* msg =    853, deg = 32 */    302,    441,    815,    983,   1051,   1288,   1624,   1842,   2090,   2295,   2668,   2867,   3293,   3456,   3601,   3853,   4192,   4349,   4732,   4881,   5320,   5548,   5643,   5838,   6207,   6430,   6838,   6944,   7367,   7547,   7688,   7910, 
/* msg =    854, deg = 32 */    303,    442,    816,    984,   1052,   1289,   1625,   1843,   2091,   2296,   2669,   2868,   3294,   3457,   3602,   3854,   4193,   4350,   4733,   4882,   5321,   5549,   5644,   5839,   6208,   6431,   6839,   6945,   7368,   7548,   7689,   7911, 
/* msg =    855, deg = 32 */    304,    443,    817,    985,   1053,   1290,   1626,   1844,   2092,   2297,   2670,   2869,   3295,   3458,   3603,   3855,   4194,   4351,   4734,   4883,   5322,   5550,   5645,   5840,   6209,   6432,   6840,   6946,   7369,   7549,   7690,   7912, 
/* msg =    856, deg = 32 */    305,    444,    818,    986,   1054,   1291,   1627,   1845,   2093,   2298,   2671,   2870,   3296,   3459,   3604,   3856,   4195,   4352,   4735,   4884,   5323,   5551,   5646,   5841,   6210,   6433,   6841,   6947,   7370,   7550,   7691,   7913, 
/* msg =    857, deg = 32 */    306,    445,    819,    987,   1055,   1292,   1628,   1846,   2094,   2299,   2672,   2871,   3297,   3460,   3605,   3857,   4196,   4353,   4736,   4885,   5324,   5552,   5647,   5842,   6211,   6434,   6842,   6948,   7371,   7551,   7692,   7914, 
/* msg =    858, deg = 32 */    307,    446,    820,    988,   1056,   1293,   1629,   1847,   2095,   2300,   2673,   2872,   3298,   3461,   3606,   3858,   4197,   4354,   4737,   4886,   5325,   5553,   5648,   5843,   6212,   6435,   6843,   6949,   7372,   7552,   7693,   7915, 
/* msg =    859, deg = 32 */    308,    447,    821,    989,   1057,   1294,   1630,   1848,   2096,   2301,   2674,   2873,   3299,   3462,   3607,   3859,   4198,   4355,   4738,   4887,   5326,   5554,   5649,   5844,   6213,   6436,   6844,   6950,   7373,   7553,   7694,   7916, 
/* msg =    860, deg = 32 */    309,    448,    822,    990,   1058,   1295,   1631,   1849,   2097,   2302,   2675,   2874,   3300,   3463,   3608,   3860,   4199,   4356,   4739,   4888,   5327,   5555,   5650,   5845,   6214,   6437,   6845,   6951,   7374,   7554,   7695,   7917, 
/* msg =    861, deg = 32 */    310,    449,    823,    991,   1059,   1296,   1632,   1850,   2098,   2303,   2676,   2875,   3301,   3464,   3609,   3861,   4200,   4357,   4740,   4889,   5328,   5556,   5651,   5846,   6215,   6438,   6846,   6952,   7375,   7555,   7696,   7918, 
/* msg =    862, deg = 32 */    311,    450,    824,    992,   1060,   1297,   1633,   1851,   2099,   2304,   2677,   2876,   3302,   3465,   3610,   3862,   4201,   4358,   4741,   4890,   5329,   5557,   5652,   5847,   6216,   6439,   6847,   6953,   7376,   7556,   7697,   7919, 
/* msg =    863, deg = 32 */    312,    451,    825,    993,   1061,   1298,   1634,   1852,   2100,   2305,   2678,   2877,   3303,   3466,   3611,   3863,   4202,   4359,   4742,   4891,   5330,   5558,   5653,   5848,   6217,   6440,   6848,   6954,   7377,   7557,   7698,   7920, 
/* msg =    864, deg = 32 */    313,    452,    826,    994,   1062,   1299,   1635,   1853,   2101,   2306,   2679,   2878,   3304,   3467,   3612,   3864,   4203,   4360,   4743,   4892,   5331,   5559,   5654,   5849,   6218,   6441,   6849,   6955,   7378,   7558,   7699,   7921, 
/* msg =    865, deg = 32 */    314,    453,    827,    995,   1063,   1300,   1636,   1854,   2102,   2307,   2680,   2879,   3305,   3468,   3613,   3865,   4204,   4361,   4744,   4893,   5332,   5560,   5655,   5850,   6219,   6442,   6850,   6956,   7379,   7559,   7700,   7922, 
/* msg =    866, deg = 32 */    315,    454,    828,    996,   1064,   1301,   1637,   1855,   2103,   2308,   2681,   2880,   3306,   3469,   3614,   3866,   4205,   4362,   4745,   4894,   5333,   5561,   5656,   5851,   6220,   6443,   6851,   6957,   7380,   7560,   7701,   7923, 
/* msg =    867, deg = 32 */    316,    455,    829,    997,   1065,   1302,   1638,   1856,   2104,   2309,   2682,   2881,   3307,   3470,   3615,   3867,   4206,   4363,   4746,   4895,   5334,   5562,   5657,   5852,   6221,   6444,   6852,   6958,   7381,   7561,   7702,   7924, 
/* msg =    868, deg = 32 */    317,    456,    830,    998,   1066,   1303,   1639,   1857,   2105,   2310,   2683,   2882,   3308,   3471,   3616,   3868,   4207,   4364,   4747,   4896,   5335,   5563,   5658,   5853,   6222,   6445,   6853,   6959,   7382,   7562,   7703,   7925, 
/* msg =    869, deg = 32 */    318,    457,    831,    999,   1067,   1304,   1640,   1858,   2106,   2311,   2684,   2883,   3309,   3472,   3617,   3869,   4208,   4365,   4748,   4897,   5336,   5564,   5659,   5854,   6223,   6446,   6854,   6960,   7383,   7563,   7704,   7926, 
/* msg =    870, deg = 32 */    319,    458,    832,   1000,   1068,   1305,   1641,   1859,   2107,   2312,   2685,   2884,   3310,   3473,   3618,   3870,   4209,   4366,   4749,   4898,   5337,   5565,   5660,   5855,   6224,   6447,   6855,   6961,   7384,   7564,   7705,   7927, 
/* msg =    871, deg = 32 */    320,    459,    833,   1001,   1069,   1306,   1642,   1860,   2108,   2313,   2686,   2885,   3311,   3474,   3619,   3871,   4210,   4367,   4750,   4899,   5338,   5566,   5661,   5856,   6225,   6448,   6856,   6962,   7385,   7565,   7706,   7928, 
/* msg =    872, deg = 32 */    321,    460,    834,   1002,   1070,   1307,   1643,   1861,   2109,   2314,   2687,   2886,   3312,   3475,   3620,   3872,   4211,   4368,   4751,   4900,   5339,   5567,   5662,   5857,   6226,   6449,   6857,   6963,   7386,   7566,   7707,   7929, 
/* msg =    873, deg = 32 */    322,    461,    835,   1003,   1071,   1308,   1644,   1862,   2110,   2315,   2688,   2887,   3313,   3476,   3621,   3873,   4212,   4369,   4752,   4901,   5340,   5568,   5663,   5858,   6227,   6450,   6858,   6964,   7387,   7567,   7708,   7930, 
/* msg =    874, deg = 32 */    323,    462,    836,   1004,   1072,   1309,   1645,   1863,   2111,   2316,   2689,   2888,   3314,   3477,   3622,   3874,   4213,   4370,   4753,   4902,   5341,   5569,   5664,   5859,   6228,   6451,   6859,   6965,   7388,   7568,   7709,   7931, 
/* msg =    875, deg = 32 */    324,    463,    837,   1005,   1073,   1310,   1646,   1864,   2112,   2317,   2690,   2889,   3315,   3478,   3623,   3875,   4214,   4371,   4754,   4903,   5342,   5570,   5665,   5860,   6229,   6452,   6860,   6966,   7389,   7569,   7710,   7932, 
/* msg =    876, deg = 32 */    325,    464,    838,   1006,   1074,   1311,   1647,   1865,   2113,   2318,   2691,   2890,   3316,   3479,   3624,   3876,   4215,   4372,   4755,   4904,   5343,   5571,   5666,   5861,   6230,   6453,   6861,   6967,   7390,   7570,   7711,   7933, 
/* msg =    877, deg = 32 */    326,    465,    839,   1007,   1075,   1312,   1648,   1866,   2114,   2319,   2692,   2891,   3317,   3480,   3625,   3877,   4216,   4373,   4756,   4905,   5344,   5572,   5667,   5862,   6231,   6454,   6862,   6968,   7391,   7571,   7712,   7934, 
/* msg =    878, deg = 32 */    327,    466,    840,   1008,   1076,   1313,   1649,   1867,   2115,   2320,   2693,   2892,   3318,   3481,   3626,   3878,   4217,   4374,   4757,   4906,   5345,   5573,   5668,   5863,   6232,   6455,   6863,   6969,   7392,   7572,   7713,   7935, 
/* msg =    879, deg = 32 */    328,    467,    841,   1009,   1077,   1314,   1650,   1868,   2116,   2321,   2694,   2893,   3319,   3482,   3627,   3879,   4218,   4375,   4758,   4907,   5346,   5574,   5669,   5864,   6233,   6456,   6864,   6970,   7393,   7573,   7714,   7936, 
/* msg =    880, deg = 32 */    329,    468,    842,   1010,   1078,   1315,   1651,   1869,   2117,   2322,   2695,   2894,   3320,   3483,   3628,   3880,   4219,   4376,   4759,   4908,   5347,   5575,   5670,   5865,   6234,   6457,   6865,   6971,   7394,   7574,   7715,   7937, 
/* msg =    881, deg = 32 */    330,    469,    843,   1011,   1079,   1316,   1652,   1870,   2118,   2323,   2696,   2895,   3321,   3484,   3629,   3881,   4220,   4377,   4760,   4909,   5348,   5576,   5671,   5866,   6235,   6458,   6866,   6972,   7395,   7575,   7716,   7938, 
/* msg =    882, deg = 32 */    331,    470,    844,   1012,   1080,   1317,   1653,   1871,   2119,   2324,   2697,   2896,   3322,   3485,   3630,   3882,   4221,   4378,   4761,   4910,   5349,   5577,   5672,   5867,   6236,   6459,   6867,   6973,   7396,   7576,   7717,   7939, 
/* msg =    883, deg = 32 */    332,    471,    845,   1013,   1081,   1318,   1654,   1872,   2120,   2325,   2698,   2897,   3323,   3486,   3631,   3883,   4222,   4379,   4762,   4911,   5350,   5578,   5673,   5868,   6237,   6460,   6868,   6974,   7397,   7577,   7718,   7940, 
/* msg =    884, deg = 32 */    333,    472,    846,   1014,   1082,   1319,   1655,   1873,   2121,   2326,   2699,   2898,   3324,   3487,   3632,   3884,   4223,   4380,   4763,   4912,   5351,   5579,   5674,   5869,   6238,   6461,   6869,   6975,   7398,   7578,   7719,   7941, 
/* msg =    885, deg = 32 */    334,    473,    847,   1015,   1083,   1320,   1656,   1874,   2122,   2327,   2700,   2899,   3325,   3488,   3633,   3885,   4224,   4381,   4764,   4913,   5352,   5580,   5675,   5870,   6239,   6462,   6870,   6976,   7399,   7579,   7720,   7942, 
/* msg =    886, deg = 32 */    335,    474,    848,   1016,   1084,   1321,   1657,   1875,   2123,   2328,   2701,   2900,   3326,   3489,   3634,   3886,   4225,   4382,   4765,   4914,   5353,   5581,   5676,   5871,   6240,   6463,   6871,   6977,   7400,   7580,   7721,   7943, 
/* msg =    887, deg = 32 */    336,    475,    849,   1017,   1085,   1322,   1658,   1876,   2124,   2329,   2702,   2901,   3327,   3490,   3635,   3887,   4226,   4383,   4766,   4915,   5354,   5582,   5677,   5872,   6241,   6464,   6872,   6978,   7401,   7581,   7722,   7944, 
/* msg =    888, deg = 32 */    337,    476,    850,   1018,   1086,   1323,   1659,   1877,   2125,   2330,   2703,   2902,   3328,   3491,   3636,   3888,   4227,   4384,   4767,   4916,   5355,   5583,   5678,   5873,   6242,   6465,   6873,   6979,   7402,   7582,   7723,   7945, 
/* msg =    889, deg = 32 */    338,    477,    851,   1019,   1087,   1324,   1660,   1878,   2126,   2331,   2704,   2903,   3329,   3492,   3637,   3889,   4228,   4385,   4768,   4917,   5356,   5584,   5679,   5874,   6243,   6466,   6874,   6980,   7403,   7583,   7724,   7946, 
/* msg =    890, deg = 32 */    339,    478,    852,   1020,   1088,   1325,   1661,   1879,   2127,   2332,   2705,   2904,   3330,   3493,   3638,   3890,   4229,   4386,   4769,   4918,   5357,   5585,   5680,   5875,   6244,   6467,   6875,   6981,   7404,   7584,   7725,   7947, 
/* msg =    891, deg = 32 */    340,    479,    853,   1021,   1089,   1326,   1662,   1880,   2128,   2333,   2706,   2905,   3331,   3494,   3639,   3891,   4230,   4387,   4770,   4919,   5358,   5586,   5681,   5876,   6245,   6468,   6876,   6982,   7405,   7585,   7726,   7948, 
/* msg =    892, deg = 32 */    341,    480,    511,    854,   1090,   1327,   1663,   1881,   2129,   2334,   2707,   2906,   3332,   3495,   3640,   3892,   4231,   4388,   4771,   4920,   5359,   5587,   5682,   5877,   6246,   6469,   6877,   6983,   7406,   7586,   7727,   7949, 
/* msg =    893, deg = 32 */    342,    481,    512,    855,   1091,   1328,   1664,   1882,   2130,   2335,   2708,   2907,   3333,   3496,   3641,   3893,   4232,   4389,   4772,   4921,   5360,   5588,   5683,   5878,   6247,   6470,   6878,   6984,   7407,   7587,   7728,   7950, 
/* msg =    894, deg = 32 */    343,    482,    513,    856,   1092,   1329,   1665,   1883,   2131,   2336,   2709,   2908,   3334,   3497,   3642,   3894,   4233,   4390,   4773,   4922,   5361,   5589,   5684,   5879,   6248,   6471,   6879,   6985,   7408,   7588,   7729,   7951, 
/* msg =    895, deg = 32 */    344,    483,    514,    857,   1093,   1330,   1666,   1884,   2132,   2337,   2710,   2909,   3335,   3498,   3643,   3895,   4234,   4391,   4774,   4923,   5362,   5590,   5685,   5880,   6249,   6472,   6880,   6986,   7409,   7589,   7730,   7952, 
/* msg =    896, deg = 32 */    345,    484,    515,    858,   1094,   1331,   1667,   1885,   2133,   2338,   2711,   2910,   3336,   3499,   3644,   3896,   4235,   4392,   4775,   4924,   5363,   5591,   5686,   5881,   6250,   6473,   6881,   6987,   7410,   7590,   7731,   7953, 
/* msg =    897, deg = 32 */    346,    485,    516,    859,   1095,   1332,   1668,   1886,   2134,   2339,   2712,   2911,   3337,   3500,   3645,   3897,   4236,   4393,   4776,   4925,   5364,   5592,   5687,   5882,   6251,   6474,   6882,   6988,   7411,   7591,   7732,   7954, 
/* msg =    898, deg = 32 */    347,    486,    517,    860,   1096,   1333,   1669,   1887,   2135,   2340,   2713,   2912,   3338,   3501,   3646,   3898,   4237,   4394,   4777,   4926,   5365,   5593,   5688,   5883,   6252,   6475,   6883,   6989,   7412,   7592,   7733,   7955, 
/* msg =    899, deg = 32 */    348,    487,    518,    861,   1097,   1334,   1670,   1888,   2136,   2341,   2714,   2913,   3339,   3502,   3647,   3899,   4238,   4395,   4778,   4927,   5366,   5594,   5689,   5884,   6253,   6476,   6884,   6990,   7413,   7593,   7734,   7956, 
/* msg =    900, deg = 32 */    349,    488,    519,    862,   1098,   1335,   1671,   1889,   2137,   2342,   2715,   2914,   3340,   3503,   3648,   3900,   4239,   4396,   4779,   4928,   5367,   5595,   5690,   5885,   6254,   6477,   6885,   6991,   7414,   7594,   7735,   7957, 
/* msg =    901, deg = 32 */    350,    489,    520,    863,   1099,   1336,   1672,   1890,   2138,   2343,   2716,   2915,   3341,   3504,   3649,   3901,   4240,   4397,   4780,   4929,   5368,   5596,   5691,   5886,   6255,   6478,   6886,   6992,   7415,   7595,   7736,   7958, 
/* msg =    902, deg = 32 */    351,    490,    521,    864,   1100,   1337,   1673,   1891,   2139,   2344,   2717,   2916,   3342,   3505,   3650,   3902,   4241,   4398,   4781,   4930,   5369,   5597,   5692,   5887,   6256,   6479,   6887,   6993,   7416,   7596,   7737,   7959, 
/* msg =    903, deg = 32 */    352,    491,    522,    865,   1101,   1338,   1674,   1892,   2140,   2345,   2718,   2917,   3343,   3506,   3651,   3903,   4242,   4399,   4782,   4931,   5370,   5598,   5693,   5888,   6257,   6480,   6888,   6994,   7417,   7597,   7738,   7960, 
/* msg =    904, deg = 32 */    353,    492,    523,    866,   1102,   1339,   1675,   1893,   2141,   2346,   2719,   2918,   3344,   3507,   3652,   3904,   4243,   4400,   4783,   4932,   5371,   5599,   5694,   5889,   6258,   6481,   6889,   6995,   7418,   7598,   7739,   7961, 
/* msg =    905, deg = 32 */    354,    493,    524,    867,   1103,   1340,   1676,   1894,   2142,   2347,   2720,   2919,   3345,   3508,   3653,   3905,   4244,   4401,   4784,   4933,   5372,   5600,   5695,   5890,   6259,   6482,   6890,   6996,   7419,   7599,   7740,   7962, 
/* msg =    906, deg = 32 */    355,    494,    525,    868,   1104,   1341,   1677,   1895,   2143,   2348,   2721,   2920,   3346,   3509,   3654,   3906,   4245,   4402,   4785,   4934,   5373,   5601,   5696,   5891,   6260,   6483,   6891,   6997,   7420,   7600,   7741,   7963, 
/* msg =    907, deg = 32 */    356,    495,    526,    869,   1105,   1342,   1678,   1896,   2144,   2349,   2722,   2921,   3347,   3510,   3655,   3907,   4246,   4403,   4786,   4935,   5374,   5602,   5697,   5892,   6261,   6484,   6892,   6998,   7421,   7601,   7742,   7964, 
/* msg =    908, deg = 32 */    357,    496,    527,    870,   1106,   1343,   1679,   1897,   2145,   2350,   2723,   2922,   3348,   3511,   3656,   3908,   4247,   4404,   4787,   4936,   5375,   5603,   5698,   5893,   6262,   6485,   6893,   6999,   7422,   7602,   7743,   7965, 
/* msg =    909, deg = 32 */    358,    497,    528,    871,   1107,   1344,   1680,   1898,   2146,   2351,   2724,   2923,   3349,   3512,   3657,   3909,   4248,   4405,   4788,   4937,   5376,   5604,   5699,   5894,   6263,   6486,   6894,   7000,   7423,   7603,   7744,   7966, 
/* msg =    910, deg = 32 */    359,    498,    529,    872,   1108,   1345,   1681,   1899,   2147,   2352,   2725,   2924,   3350,   3513,   3658,   3910,   4249,   4406,   4789,   4938,   5377,   5605,   5700,   5895,   6264,   6487,   6895,   7001,   7424,   7604,   7745,   7967, 
/* msg =    911, deg = 32 */    360,    499,    530,    873,   1109,   1346,   1682,   1900,   2148,   2353,   2726,   2925,   3351,   3514,   3659,   3911,   4250,   4407,   4790,   4939,   5378,   5606,   5701,   5896,   6265,   6488,   6896,   7002,   7425,   7605,   7746,   7968, 
/* msg =    912, deg = 32 */    361,    500,    531,    874,   1110,   1347,   1683,   1901,   2149,   2354,   2727,   2926,   3352,   3515,   3660,   3912,   4251,   4408,   4791,   4940,   5379,   5607,   5702,   5897,   6266,   6489,   6897,   7003,   7426,   7606,   7747,   7969, 
/* msg =    913, deg = 32 */    362,    501,    532,    875,   1111,   1348,   1684,   1902,   2150,   2355,   2728,   2927,   3353,   3516,   3661,   3913,   4252,   4409,   4792,   4941,   5380,   5608,   5703,   5898,   6267,   6490,   6898,   7004,   7427,   7607,   7748,   7970, 
/* msg =    914, deg = 32 */    363,    502,    533,    876,   1112,   1349,   1685,   1903,   2151,   2356,   2729,   2928,   3354,   3517,   3662,   3914,   4253,   4410,   4793,   4942,   5381,   5609,   5704,   5899,   6268,   6491,   6899,   7005,   7428,   7608,   7749,   7971, 
/* msg =    915, deg = 32 */    364,    503,    534,    877,   1113,   1350,   1686,   1904,   2152,   2357,   2730,   2929,   3355,   3518,   3663,   3915,   4254,   4411,   4794,   4943,   5382,   5610,   5705,   5900,   6269,   6492,   6900,   7006,   7429,   7609,   7750,   7972, 
/* msg =    916, deg = 32 */    365,    504,    535,    878,   1114,   1351,   1687,   1905,   2153,   2358,   2731,   2930,   3356,   3519,   3664,   3916,   4255,   4412,   4795,   4944,   5383,   5611,   5706,   5901,   6270,   6493,   6901,   7007,   7430,   7610,   7751,   7973, 
/* msg =    917, deg = 32 */    366,    505,    536,    879,   1115,   1352,   1688,   1906,   2154,   2359,   2732,   2931,   3357,   3520,   3665,   3917,   4256,   4413,   4796,   4945,   5384,   5612,   5707,   5902,   6271,   6494,   6902,   7008,   7431,   7611,   7752,   7974, 
/* msg =    918, deg = 32 */    367,    506,    537,    880,   1116,   1353,   1689,   1907,   2155,   2360,   2733,   2932,   3358,   3521,   3666,   3918,   4257,   4414,   4797,   4946,   5385,   5613,   5708,   5903,   6272,   6495,   6903,   7009,   7432,   7612,   7753,   7975, 
/* msg =    919, deg = 32 */    368,    507,    538,    881,   1117,   1354,   1690,   1908,   2156,   2361,   2734,   2933,   3359,   3522,   3667,   3919,   4258,   4415,   4798,   4947,   5386,   5614,   5709,   5904,   6273,   6496,   6904,   7010,   7433,   7613,   7754,   7976, 
/* msg =    920, deg = 32 */    369,    508,    539,    882,   1118,   1355,   1691,   1909,   2157,   2362,   2735,   2934,   3360,   3523,   3668,   3920,   4259,   4416,   4799,   4948,   5387,   5615,   5710,   5905,   6274,   6497,   6905,   7011,   7434,   7614,   7755,   7977, 
/* msg =    921, deg = 32 */    370,    509,    540,    883,   1119,   1356,   1692,   1910,   2158,   2363,   2736,   2935,   3361,   3524,   3669,   3921,   4260,   4417,   4800,   4949,   5388,   5616,   5711,   5906,   6275,   6498,   6906,   7012,   7435,   7615,   7756,   7978, 
/* msg =    922, deg = 32 */    371,    510,    541,    884,   1120,   1357,   1693,   1911,   2159,   2364,   2737,   2936,   3362,   3525,   3670,   3922,   4261,   4418,   4801,   4950,   5389,   5617,   5712,   5907,   6276,   6499,   6907,   7013,   7436,   7616,   7757,   7979, 
/* msg =    923, deg = 32 */      0,    372,    542,    885,   1121,   1358,   1694,   1912,   2160,   2365,   2738,   2937,   3363,   3526,   3671,   3923,   4262,   4419,   4802,   4951,   5390,   5618,   5713,   5908,   6277,   6500,   6908,   7014,   7437,   7617,   7758,   7980, 
/* msg =    924, deg = 32 */      1,    373,    543,    886,   1122,   1359,   1695,   1913,   2161,   2366,   2739,   2938,   3364,   3527,   3672,   3924,   4263,   4420,   4803,   4952,   5391,   5619,   5714,   5909,   6278,   6501,   6909,   7015,   7438,   7618,   7759,   7981, 
/* msg =    925, deg = 32 */      2,    374,    544,    887,   1123,   1360,   1696,   1914,   2162,   2367,   2740,   2939,   3365,   3528,   3673,   3925,   4264,   4421,   4804,   4953,   5392,   5620,   5715,   5910,   6279,   6502,   6910,   7016,   7439,   7619,   7760,   7982, 
/* msg =    926, deg = 32 */      3,    375,    545,    888,   1124,   1361,   1697,   1915,   2163,   2368,   2741,   2940,   3366,   3529,   3674,   3926,   4265,   4422,   4805,   4954,   5110,   5393,   5716,   5911,   6280,   6503,   6911,   7017,   7440,   7620,   7761,   7983, 
/* msg =    927, deg = 32 */      4,    376,    546,    889,   1125,   1362,   1698,   1916,   2164,   2369,   2742,   2941,   3367,   3530,   3675,   3927,   4266,   4423,   4806,   4955,   5111,   5394,   5717,   5912,   6281,   6504,   6912,   7018,   7441,   7621,   7762,   7984, 
/* msg =    928, deg = 32 */      5,    377,    547,    890,   1126,   1363,   1699,   1917,   2165,   2370,   2743,   2942,   3368,   3531,   3676,   3928,   4267,   4424,   4807,   4956,   5112,   5395,   5718,   5913,   6282,   6505,   6913,   7019,   7442,   7622,   7763,   7985, 
/* msg =    929, deg = 32 */      6,    378,    548,    891,   1127,   1364,   1700,   1918,   2166,   2371,   2744,   2943,   3369,   3532,   3677,   3929,   4268,   4425,   4808,   4957,   5113,   5396,   5719,   5914,   6283,   6506,   6914,   7020,   7443,   7623,   7764,   7986, 
/* msg =    930, deg = 32 */      7,    379,    549,    892,   1128,   1365,   1701,   1919,   2167,   2372,   2745,   2944,   3370,   3533,   3678,   3930,   4269,   4426,   4809,   4958,   5114,   5397,   5720,   5915,   6284,   6507,   6915,   7021,   7444,   7624,   7765,   7987, 
/* msg =    931, deg = 32 */      8,    380,    550,    893,   1129,   1366,   1702,   1920,   2168,   2373,   2746,   2945,   3371,   3534,   3679,   3931,   4270,   4427,   4810,   4959,   5115,   5398,   5721,   5916,   6285,   6508,   6916,   7022,   7445,   7625,   7766,   7988, 
/* msg =    932, deg = 32 */      9,    381,    551,    894,   1130,   1367,   1703,   1921,   2169,   2374,   2747,   2946,   3372,   3535,   3680,   3932,   4271,   4428,   4811,   4960,   5116,   5399,   5722,   5917,   6286,   6509,   6917,   7023,   7446,   7626,   7767,   7989, 
/* msg =    933, deg = 32 */     10,    382,    552,    895,   1131,   1368,   1704,   1922,   2170,   2375,   2748,   2947,   3373,   3536,   3681,   3933,   4272,   4429,   4812,   4961,   5117,   5400,   5723,   5918,   6287,   6510,   6918,   7024,   7447,   7627,   7768,   7990, 
/* msg =    934, deg = 32 */     11,    383,    553,    896,   1132,   1369,   1705,   1923,   2171,   2376,   2749,   2948,   3374,   3537,   3682,   3934,   4273,   4430,   4813,   4962,   5118,   5401,   5724,   5919,   6288,   6511,   6919,   7025,   7448,   7628,   7769,   7991, 
/* msg =    935, deg = 32 */     12,    384,    554,    897,   1133,   1370,   1706,   1924,   2172,   2377,   2750,   2949,   3375,   3538,   3683,   3935,   4274,   4431,   4814,   4963,   5119,   5402,   5725,   5920,   6289,   6512,   6920,   7026,   7449,   7629,   7770,   7992, 
/* msg =    936, deg = 32 */     13,    385,    555,    898,   1134,   1371,   1707,   1925,   2173,   2378,   2751,   2950,   3376,   3539,   3684,   3936,   4275,   4432,   4815,   4964,   5120,   5403,   5726,   5921,   6290,   6513,   6921,   7027,   7450,   7630,   7771,   7993, 
/* msg =    937, deg = 32 */     14,    386,    556,    899,   1135,   1372,   1708,   1926,   2174,   2379,   2752,   2951,   3377,   3540,   3685,   3937,   4276,   4433,   4816,   4965,   5121,   5404,   5727,   5922,   6291,   6514,   6922,   7028,   7451,   7631,   7772,   7994, 
/* msg =    938, deg = 32 */     15,    387,    557,    900,   1136,   1373,   1709,   1927,   2175,   2380,   2753,   2952,   3378,   3541,   3686,   3938,   4277,   4434,   4817,   4966,   5122,   5405,   5728,   5923,   6292,   6515,   6923,   7029,   7452,   7632,   7773,   7995, 
/* msg =    939, deg = 32 */     16,    388,    558,    901,   1137,   1374,   1710,   1928,   2176,   2381,   2754,   2953,   3379,   3542,   3687,   3939,   4278,   4435,   4818,   4967,   5123,   5406,   5729,   5924,   6293,   6516,   6924,   7030,   7453,   7633,   7774,   7996, 
/* msg =    940, deg = 32 */     17,    389,    559,    902,   1138,   1375,   1711,   1929,   2177,   2382,   2755,   2954,   3380,   3543,   3688,   3940,   4279,   4436,   4819,   4968,   5124,   5407,   5730,   5925,   6294,   6517,   6925,   7031,   7454,   7634,   7775,   7997, 
/* msg =    941, deg = 32 */     18,    390,    560,    903,   1139,   1376,   1712,   1930,   2178,   2383,   2756,   2955,   3381,   3544,   3689,   3941,   4280,   4437,   4820,   4969,   5125,   5408,   5731,   5926,   6295,   6518,   6926,   7032,   7455,   7635,   7776,   7998, 
/* msg =    942, deg = 32 */     19,    391,    561,    904,   1140,   1377,   1713,   1931,   2179,   2384,   2757,   2956,   3382,   3545,   3690,   3942,   4281,   4438,   4821,   4970,   5126,   5409,   5732,   5927,   6296,   6519,   6927,   7033,   7456,   7636,   7777,   7999, 
/* msg =    943, deg = 32 */     20,    392,    562,    905,   1141,   1378,   1714,   1932,   2180,   2385,   2758,   2957,   3383,   3546,   3691,   3943,   4282,   4439,   4822,   4971,   5127,   5410,   5733,   5928,   6297,   6520,   6928,   7034,   7457,   7637,   7778,   8000, 
/* msg =    944, deg = 32 */     21,    393,    563,    906,   1142,   1379,   1715,   1933,   2181,   2386,   2759,   2958,   3384,   3547,   3692,   3944,   4283,   4440,   4823,   4972,   5128,   5411,   5734,   5929,   6298,   6521,   6929,   7035,   7458,   7638,   7779,   8001, 
/* msg =    945, deg = 32 */     22,    394,    564,    907,   1143,   1380,   1716,   1934,   2182,   2387,   2760,   2959,   3385,   3548,   3693,   3945,   4284,   4441,   4824,   4973,   5129,   5412,   5735,   5930,   6299,   6522,   6930,   7036,   7459,   7639,   7780,   8002, 
/* msg =    946, deg = 32 */     23,    395,    565,    908,   1144,   1381,   1717,   1935,   2183,   2388,   2761,   2960,   3386,   3549,   3694,   3946,   4285,   4442,   4825,   4974,   5130,   5413,   5736,   5931,   6300,   6523,   6931,   7037,   7460,   7640,   7781,   8003, 
/* msg =    947, deg = 32 */     24,    396,    566,    909,   1145,   1382,   1718,   1936,   2184,   2389,   2762,   2961,   3387,   3550,   3695,   3947,   4286,   4443,   4826,   4975,   5131,   5414,   5737,   5932,   6301,   6524,   6932,   7038,   7461,   7641,   7782,   8004, 
/* msg =    948, deg = 32 */     25,    397,    567,    910,   1146,   1383,   1719,   1937,   2185,   2390,   2763,   2962,   3388,   3551,   3696,   3948,   4287,   4444,   4827,   4976,   5132,   5415,   5738,   5933,   6302,   6525,   6933,   7039,   7462,   7642,   7783,   8005, 
/* msg =    949, deg = 32 */     26,    398,    568,    911,   1147,   1384,   1720,   1938,   2186,   2391,   2764,   2963,   3389,   3552,   3697,   3949,   4288,   4445,   4828,   4977,   5133,   5416,   5739,   5934,   6303,   6526,   6934,   7040,   7463,   7643,   7784,   8006, 
/* msg =    950, deg = 32 */     27,    399,    569,    912,   1148,   1385,   1721,   1939,   2187,   2392,   2765,   2964,   3390,   3553,   3698,   3950,   4289,   4446,   4829,   4978,   5134,   5417,   5740,   5935,   6304,   6527,   6935,   7041,   7464,   7644,   7785,   8007, 
/* msg =    951, deg = 32 */     28,    400,    570,    913,   1149,   1386,   1722,   1940,   2188,   2393,   2766,   2965,   3391,   3554,   3699,   3951,   4290,   4447,   4830,   4979,   5135,   5418,   5741,   5936,   6305,   6528,   6936,   7042,   7465,   7645,   7786,   8008, 
/* msg =    952, deg = 32 */     29,    401,    571,    914,   1150,   1387,   1723,   1941,   2189,   2394,   2767,   2966,   3392,   3555,   3700,   3952,   4291,   4448,   4831,   4980,   5136,   5419,   5742,   5937,   6306,   6529,   6937,   7043,   7466,   7646,   7787,   8009, 
/* msg =    953, deg = 32 */     30,    402,    572,    915,   1151,   1388,   1724,   1942,   2190,   2395,   2768,   2967,   3393,   3556,   3701,   3953,   4292,   4449,   4832,   4981,   5137,   5420,   5743,   5938,   6307,   6530,   6938,   7044,   7467,   7647,   7788,   8010, 
/* msg =    954, deg = 32 */     31,    403,    573,    916,   1152,   1389,   1725,   1943,   2191,   2396,   2769,   2968,   3394,   3557,   3702,   3954,   4293,   4450,   4833,   4982,   5138,   5421,   5744,   5939,   6308,   6531,   6939,   7045,   7468,   7648,   7789,   8011, 
/* msg =    955, deg = 32 */     32,    404,    574,    917,   1153,   1390,   1726,   1944,   2192,   2397,   2770,   2969,   3395,   3558,   3703,   3955,   4294,   4451,   4834,   4983,   5139,   5422,   5745,   5940,   6309,   6532,   6940,   7046,   7469,   7649,   7790,   8012, 
/* msg =    956, deg = 32 */     33,    405,    575,    918,   1154,   1391,   1727,   1945,   2193,   2398,   2771,   2970,   3396,   3559,   3704,   3956,   4295,   4452,   4835,   4984,   5140,   5423,   5746,   5941,   6310,   6533,   6941,   7047,   7470,   7650,   7791,   8013, 
/* msg =    957, deg = 32 */     34,    406,    576,    919,   1155,   1392,   1728,   1946,   2194,   2399,   2772,   2971,   3397,   3560,   3705,   3957,   4296,   4453,   4836,   4985,   5141,   5424,   5747,   5942,   6311,   6534,   6942,   7048,   7471,   7651,   7792,   8014, 
/* msg =    958, deg = 32 */     35,    407,    577,    920,   1156,   1393,   1729,   1947,   2195,   2400,   2773,   2972,   3398,   3561,   3706,   3958,   4297,   4454,   4837,   4986,   5142,   5425,   5748,   5943,   6312,   6535,   6943,   7049,   7472,   7652,   7793,   8015, 
/* msg =    959, deg = 32 */     36,    408,    578,    921,   1157,   1394,   1730,   1948,   2196,   2401,   2774,   2973,   3399,   3562,   3707,   3959,   4298,   4455,   4838,   4987,   5143,   5426,   5749,   5944,   6313,   6536,   6944,   7050,   7473,   7653,   7794,   8016, 
/* msg =    960, deg = 32 */     37,    409,    579,    922,   1158,   1395,   1731,   1949,   2197,   2402,   2775,   2974,   3400,   3563,   3708,   3960,   4299,   4456,   4839,   4988,   5144,   5427,   5750,   5945,   6314,   6537,   6945,   7051,   7474,   7654,   7795,   8017, 
/* msg =    961, deg = 32 */     38,    410,    580,    923,   1159,   1396,   1732,   1950,   2198,   2403,   2776,   2975,   3401,   3564,   3709,   3961,   4300,   4457,   4840,   4989,   5145,   5428,   5751,   5946,   6315,   6538,   6946,   7052,   7475,   7655,   7796,   8018, 
/* msg =    962, deg = 32 */     39,    411,    581,    924,   1160,   1397,   1733,   1951,   2199,   2404,   2777,   2976,   3402,   3565,   3710,   3962,   4301,   4458,   4841,   4990,   5146,   5429,   5752,   5947,   6316,   6539,   6947,   7053,   7476,   7656,   7797,   8019, 
/* msg =    963, deg = 32 */     40,    412,    582,    925,   1161,   1398,   1734,   1952,   2200,   2405,   2778,   2977,   3403,   3566,   3711,   3963,   4302,   4459,   4842,   4991,   5147,   5430,   5753,   5948,   6317,   6540,   6948,   7054,   7477,   7657,   7798,   8020, 
/* msg =    964, deg = 32 */     41,    413,    583,    926,   1162,   1399,   1735,   1953,   2201,   2406,   2779,   2978,   3404,   3567,   3712,   3964,   4303,   4460,   4843,   4992,   5148,   5431,   5754,   5949,   6318,   6541,   6949,   7055,   7478,   7658,   7799,   8021, 
/* msg =    965, deg = 32 */     42,    414,    584,    927,   1163,   1400,   1736,   1954,   2202,   2407,   2780,   2979,   3405,   3568,   3713,   3965,   4304,   4461,   4844,   4993,   5149,   5432,   5755,   5950,   6319,   6542,   6950,   7056,   7479,   7659,   7800,   8022, 
/* msg =    966, deg = 32 */     43,    415,    585,    928,   1164,   1401,   1737,   1955,   2203,   2408,   2781,   2980,   3406,   3569,   3714,   3966,   4305,   4462,   4845,   4994,   5150,   5433,   5756,   5951,   6320,   6543,   6951,   7057,   7480,   7660,   7801,   8023, 
/* msg =    967, deg = 32 */     44,    416,    586,    929,   1165,   1402,   1738,   1956,   2204,   2409,   2782,   2981,   3407,   3570,   3715,   3967,   4306,   4463,   4846,   4995,   5151,   5434,   5757,   5952,   6321,   6544,   6952,   7058,   7481,   7661,   7802,   8024, 
/* msg =    968, deg = 32 */     45,    417,    587,    930,   1166,   1403,   1739,   1957,   2205,   2410,   2783,   2982,   3408,   3571,   3716,   3968,   4307,   4464,   4847,   4996,   5152,   5435,   5758,   5953,   6322,   6545,   6953,   7059,   7482,   7662,   7803,   8025, 
/* msg =    969, deg = 32 */     46,    418,    588,    931,   1167,   1404,   1740,   1958,   2206,   2411,   2784,   2983,   3409,   3572,   3717,   3969,   4308,   4465,   4848,   4997,   5153,   5436,   5759,   5954,   6323,   6546,   6954,   7060,   7483,   7663,   7804,   8026, 
/* msg =    970, deg = 32 */     47,    419,    589,    932,   1168,   1405,   1741,   1959,   2207,   2412,   2785,   2984,   3410,   3573,   3718,   3970,   4309,   4466,   4849,   4998,   5154,   5437,   5760,   5955,   6324,   6547,   6955,   7061,   7484,   7664,   7805,   8027, 
/* msg =    971, deg = 32 */     48,    420,    590,    933,   1169,   1406,   1742,   1960,   2208,   2413,   2786,   2985,   3411,   3574,   3719,   3971,   4310,   4467,   4850,   4999,   5155,   5438,   5761,   5956,   6325,   6548,   6956,   7062,   7154,   7485,   7806,   8028, 
/* msg =    972, deg = 32 */     49,    421,    591,    934,   1170,   1407,   1743,   1961,   2209,   2414,   2787,   2986,   3412,   3575,   3720,   3972,   4311,   4468,   4851,   5000,   5156,   5439,   5762,   5957,   6326,   6549,   6957,   7063,   7155,   7486,   7807,   8029, 
/* msg =    973, deg = 32 */     50,    422,    592,    935,   1171,   1408,   1744,   1962,   2210,   2415,   2788,   2987,   3413,   3576,   3721,   3973,   4312,   4469,   4852,   5001,   5157,   5440,   5763,   5958,   6327,   6550,   6958,   7064,   7156,   7487,   7808,   8030, 
/* msg =    974, deg = 32 */     51,    423,    593,    936,   1172,   1409,   1745,   1963,   2211,   2416,   2789,   2988,   3066,   3414,   3722,   3974,   4313,   4470,   4853,   5002,   5158,   5441,   5764,   5959,   6328,   6551,   6959,   7065,   7157,   7488,   7809,   8031, 
/* msg =    975, deg = 32 */     52,    424,    594,    937,   1173,   1410,   1746,   1964,   2212,   2417,   2790,   2989,   3067,   3415,   3723,   3975,   4314,   4471,   4854,   5003,   5159,   5442,   5765,   5960,   6329,   6552,   6960,   7066,   7158,   7489,   7810,   8032, 
/* msg =    976, deg = 32 */     53,    425,    595,    938,   1174,   1411,   1747,   1965,   2213,   2418,   2791,   2990,   3068,   3416,   3724,   3976,   4315,   4472,   4855,   5004,   5160,   5443,   5766,   5961,   6330,   6553,   6961,   7067,   7159,   7490,   7811,   8033, 
/* msg =    977, deg = 32 */     54,    426,    596,    939,   1175,   1412,   1748,   1966,   2214,   2419,   2792,   2991,   3069,   3417,   3725,   3977,   4316,   4473,   4856,   5005,   5161,   5444,   5767,   5962,   6331,   6554,   6962,   7068,   7160,   7491,   7812,   8034, 
/* msg =    978, deg = 32 */     55,    427,    597,    940,   1176,   1413,   1749,   1967,   2215,   2420,   2793,   2992,   3070,   3418,   3726,   3978,   4317,   4474,   4857,   5006,   5162,   5445,   5768,   5963,   6332,   6555,   6963,   7069,   7161,   7492,   7813,   8035, 
/* msg =    979, deg = 32 */     56,    428,    598,    941,   1177,   1414,   1750,   1968,   2216,   2421,   2794,   2993,   3071,   3419,   3727,   3979,   4318,   4475,   4858,   5007,   5163,   5446,   5769,   5964,   6333,   6556,   6964,   7070,   7162,   7493,   7814,   8036, 
/* msg =    980, deg = 32 */     57,    429,    599,    942,   1178,   1415,   1751,   1969,   2217,   2422,   2795,   2994,   3072,   3420,   3728,   3980,   4319,   4476,   4859,   5008,   5164,   5447,   5770,   5965,   6334,   6557,   6965,   7071,   7163,   7494,   7815,   8037, 
/* msg =    981, deg = 32 */     58,    430,    600,    943,   1179,   1416,   1752,   1970,   2218,   2423,   2796,   2995,   3073,   3421,   3729,   3981,   4320,   4477,   4860,   5009,   5165,   5448,   5771,   5966,   6335,   6558,   6966,   7072,   7164,   7495,   7816,   8038, 
/* msg =    982, deg = 32 */     59,    431,    601,    944,   1180,   1417,   1753,   1971,   2219,   2424,   2797,   2996,   3074,   3422,   3730,   3982,   4321,   4478,   4861,   5010,   5166,   5449,   5772,   5967,   6336,   6559,   6967,   7073,   7165,   7496,   7817,   8039, 
/* msg =    983, deg = 32 */     60,    432,    602,    945,   1181,   1418,   1754,   1972,   2220,   2425,   2798,   2997,   3075,   3423,   3731,   3983,   4322,   4479,   4862,   5011,   5167,   5450,   5773,   5968,   6337,   6560,   6968,   7074,   7166,   7497,   7818,   8040, 
/* msg =    984, deg = 32 */     61,    433,    603,    946,   1182,   1419,   1755,   1973,   2221,   2426,   2799,   2998,   3076,   3424,   3732,   3984,   4323,   4480,   4863,   5012,   5168,   5451,   5774,   5969,   6338,   6561,   6969,   7075,   7167,   7498,   7819,   8041, 
/* msg =    985, deg = 32 */     62,    434,    604,    947,   1183,   1420,   1756,   1974,   2222,   2427,   2800,   2999,   3077,   3425,   3733,   3985,   4324,   4481,   4864,   5013,   5169,   5452,   5775,   5970,   6339,   6562,   6970,   7076,   7168,   7499,   7820,   8042, 
/* msg =    986, deg = 32 */     63,    435,    605,    948,   1184,   1421,   1757,   1975,   2223,   2428,   2801,   3000,   3078,   3426,   3734,   3986,   4325,   4482,   4865,   5014,   5170,   5453,   5776,   5971,   6340,   6563,   6971,   7077,   7169,   7500,   7821,   8043, 
/* msg =    987, deg = 32 */     64,    436,    606,    949,   1185,   1422,   1758,   1976,   2224,   2429,   2802,   3001,   3079,   3427,   3735,   3987,   4326,   4483,   4866,   5015,   5171,   5454,   5777,   5972,   6341,   6564,   6972,   7078,   7170,   7501,   7822,   8044, 
/* msg =    988, deg = 32 */     65,    437,    607,    950,   1186,   1423,   1759,   1977,   2225,   2430,   2803,   3002,   3080,   3428,   3736,   3988,   4327,   4484,   4867,   5016,   5172,   5455,   5778,   5973,   6342,   6565,   6973,   7079,   7171,   7502,   7823,   8045, 
/* msg =    989, deg = 32 */     66,    438,    608,    951,   1187,   1424,   1760,   1978,   2226,   2431,   2804,   3003,   3081,   3429,   3737,   3989,   4328,   4485,   4868,   5017,   5173,   5456,   5779,   5974,   6343,   6566,   6974,   7080,   7172,   7503,   7824,   8046, 
/* msg =    990, deg = 32 */     67,    439,    609,    952,   1188,   1425,   1761,   1979,   2227,   2432,   2805,   3004,   3082,   3430,   3738,   3990,   4329,   4486,   4869,   5018,   5174,   5457,   5780,   5975,   6344,   6567,   6975,   7081,   7173,   7504,   7825,   8047, 
/* msg =    991, deg = 32 */     68,    440,    610,    953,   1189,   1426,   1762,   1980,   2228,   2433,   2806,   3005,   3083,   3431,   3739,   3991,   4330,   4487,   4870,   5019,   5175,   5458,   5781,   5976,   6345,   6568,   6976,   7082,   7174,   7505,   7826,   8048, 
/* msg =    992, deg = 32 */     69,    441,    611,    954,   1190,   1427,   1763,   1981,   2229,   2434,   2807,   3006,   3084,   3432,   3740,   3992,   4331,   4488,   4871,   5020,   5176,   5459,   5782,   5977,   6346,   6569,   6977,   7083,   7175,   7506,   7827,   8049, 
/* msg =    993, deg = 32 */     70,    442,    612,    955,   1191,   1428,   1764,   1982,   2230,   2435,   2808,   3007,   3085,   3433,   3741,   3993,   4332,   4489,   4872,   5021,   5177,   5460,   5783,   5978,   6347,   6570,   6978,   7084,   7176,   7507,   7828,   8050, 
/* msg =    994, deg = 32 */     71,    443,    613,    956,   1192,   1429,   1765,   1983,   2231,   2436,   2809,   3008,   3086,   3434,   3742,   3994,   4333,   4490,   4873,   5022,   5178,   5461,   5784,   5979,   6348,   6571,   6979,   7085,   7177,   7508,   7829,   8051, 
/* msg =    995, deg = 32 */     72,    444,    614,    957,   1193,   1430,   1766,   1984,   2232,   2437,   2810,   3009,   3087,   3435,   3743,   3995,   4334,   4491,   4874,   5023,   5179,   5462,   5785,   5980,   6349,   6572,   6980,   7086,   7178,   7509,   7830,   8052, 
/* msg =    996, deg = 32 */     73,    445,    615,    958,   1194,   1431,   1767,   1985,   2233,   2438,   2811,   3010,   3088,   3436,   3744,   3996,   4335,   4492,   4875,   5024,   5180,   5463,   5786,   5981,   6350,   6573,   6981,   7087,   7179,   7510,   7831,   8053, 
/* msg =    997, deg = 32 */     74,    446,    616,    959,   1195,   1432,   1768,   1986,   2234,   2439,   2812,   3011,   3089,   3437,   3745,   3997,   4336,   4493,   4876,   5025,   5181,   5464,   5787,   5982,   6351,   6574,   6982,   7088,   7180,   7511,   7832,   8054, 
/* msg =    998, deg = 32 */     75,    447,    617,    960,   1196,   1433,   1769,   1987,   2235,   2440,   2813,   3012,   3090,   3438,   3746,   3998,   4337,   4494,   4877,   5026,   5182,   5465,   5788,   5983,   6352,   6575,   6983,   7089,   7181,   7512,   7833,   8055, 
/* msg =    999, deg = 32 */     76,    448,    618,    961,   1197,   1434,   1770,   1988,   2236,   2441,   2814,   3013,   3091,   3439,   3747,   3999,   4338,   4495,   4878,   5027,   5183,   5466,   5789,   5984,   6353,   6576,   6984,   7090,   7182,   7513,   7834,   8056, 
/* msg =   1000, deg = 32 */     77,    449,    619,    962,   1198,   1435,   1771,   1989,   2237,   2442,   2815,   3014,   3092,   3440,   3748,   4000,   4339,   4496,   4879,   5028,   5184,   5467,   5790,   5985,   6354,   6577,   6985,   7091,   7183,   7514,   7835,   8057, 
/* msg =   1001, deg = 32 */     78,    450,    620,    963,   1199,   1436,   1772,   1990,   2238,   2443,   2816,   3015,   3093,   3441,   3749,   4001,   4340,   4497,   4880,   5029,   5185,   5468,   5791,   5986,   6355,   6578,   6986,   7092,   7184,   7515,   7836,   8058, 
/* msg =   1002, deg = 32 */     79,    451,    621,    964,   1200,   1437,   1773,   1991,   2239,   2444,   2817,   3016,   3094,   3442,   3750,   4002,   4341,   4498,   4881,   5030,   5186,   5469,   5792,   5987,   6356,   6579,   6987,   7093,   7185,   7516,   7837,   8059, 
/* msg =   1003, deg = 32 */     80,    452,    622,    965,   1201,   1438,   1774,   1992,   2240,   2445,   2818,   3017,   3095,   3443,   3751,   4003,   4342,   4499,   4882,   5031,   5187,   5470,   5793,   5988,   6357,   6580,   6988,   7094,   7186,   7517,   7838,   8060, 
/* msg =   1004, deg = 32 */     81,    453,    623,    966,   1202,   1439,   1775,   1993,   2241,   2446,   2819,   3018,   3096,   3444,   3752,   4004,   4343,   4500,   4883,   5032,   5188,   5471,   5794,   5989,   6358,   6581,   6989,   7095,   7187,   7518,   7839,   8061, 
/* msg =   1005, deg = 32 */     82,    454,    624,    967,   1203,   1440,   1776,   1994,   2242,   2447,   2820,   3019,   3097,   3445,   3753,   4005,   4344,   4501,   4884,   5033,   5189,   5472,   5795,   5990,   6359,   6582,   6990,   7096,   7188,   7519,   7840,   8062, 
/* msg =   1006, deg = 32 */     83,    455,    625,    968,   1204,   1441,   1777,   1995,   2243,   2448,   2821,   3020,   3098,   3446,   3754,   4006,   4345,   4502,   4885,   5034,   5190,   5473,   5796,   5991,   6360,   6583,   6991,   7097,   7189,   7520,   7841,   8063, 
/* msg =   1007, deg = 32 */     84,    456,    626,    969,   1205,   1442,   1778,   1996,   2244,   2449,   2822,   3021,   3099,   3447,   3755,   4007,   4346,   4503,   4886,   5035,   5191,   5474,   5797,   5992,   6361,   6584,   6992,   7098,   7190,   7521,   7842,   8064, 
/* msg =   1008, deg = 32 */     85,    457,    627,    970,   1206,   1443,   1779,   1997,   2245,   2450,   2823,   3022,   3100,   3448,   3756,   4008,   4347,   4504,   4887,   5036,   5192,   5475,   5798,   5993,   6362,   6585,   6993,   7099,   7191,   7522,   7843,   8065, 
/* msg =   1009, deg = 32 */     86,    458,    628,    971,   1207,   1444,   1780,   1998,   2246,   2451,   2824,   3023,   3101,   3449,   3757,   4009,   4348,   4505,   4888,   5037,   5193,   5476,   5799,   5994,   6363,   6586,   6994,   7100,   7192,   7523,   7844,   8066, 
/* msg =   1010, deg = 32 */     87,    459,    629,    972,   1208,   1445,   1781,   1999,   2247,   2452,   2825,   3024,   3102,   3450,   3758,   4010,   4349,   4506,   4889,   5038,   5194,   5477,   5800,   5995,   6364,   6587,   6995,   7101,   7193,   7524,   7845,   8067, 
/* msg =   1011, deg = 32 */     88,    460,    630,    973,   1209,   1446,   1782,   2000,   2248,   2453,   2826,   3025,   3103,   3451,   3759,   4011,   4350,   4507,   4890,   5039,   5195,   5478,   5801,   5996,   6365,   6588,   6996,   7102,   7194,   7525,   7846,   8068, 
/* msg =   1012, deg = 32 */     89,    461,    631,    974,   1210,   1447,   1783,   2001,   2249,   2454,   2827,   3026,   3104,   3452,   3760,   4012,   4351,   4508,   4891,   5040,   5196,   5479,   5802,   5997,   6366,   6589,   6997,   7103,   7195,   7526,   7847,   8069, 
/* msg =   1013, deg = 32 */     90,    462,    632,    975,   1211,   1448,   1784,   2002,   2250,   2455,   2828,   3027,   3105,   3453,   3761,   4013,   4352,   4509,   4892,   5041,   5197,   5480,   5803,   5998,   6367,   6590,   6998,   7104,   7196,   7527,   7848,   8070, 
/* msg =   1014, deg = 32 */     91,    463,    633,    976,   1212,   1449,   1785,   2003,   2251,   2456,   2829,   3028,   3106,   3454,   3762,   4014,   4353,   4510,   4893,   5042,   5198,   5481,   5804,   5999,   6368,   6591,   6999,   7105,   7197,   7528,   7849,   8071, 
/* msg =   1015, deg = 32 */     92,    464,    634,    977,   1213,   1450,   1786,   2004,   2252,   2457,   2830,   3029,   3107,   3455,   3763,   4015,   4354,   4511,   4894,   5043,   5199,   5482,   5805,   6000,   6369,   6592,   7000,   7106,   7198,   7529,   7850,   8072, 
/* msg =   1016, deg = 32 */     93,    465,    635,    978,   1214,   1451,   1787,   2005,   2253,   2458,   2831,   3030,   3108,   3456,   3764,   4016,   4355,   4512,   4895,   5044,   5200,   5483,   5806,   6001,   6370,   6593,   7001,   7107,   7199,   7530,   7851,   8073, 
/* msg =   1017, deg = 32 */     94,    466,    636,    979,   1215,   1452,   1788,   2006,   2254,   2459,   2832,   3031,   3109,   3457,   3765,   4017,   4356,   4513,   4896,   5045,   5201,   5484,   5807,   6002,   6371,   6594,   7002,   7108,   7200,   7531,   7852,   8074, 
/* msg =   1018, deg = 32 */     95,    467,    637,    980,   1216,   1453,   1789,   2007,   2255,   2460,   2833,   3032,   3110,   3458,   3766,   4018,   4357,   4514,   4897,   5046,   5202,   5485,   5808,   6003,   6372,   6595,   7003,   7109,   7201,   7532,   7853,   8075, 
/* msg =   1019, deg = 32 */     96,    468,    638,    981,   1217,   1454,   1790,   2008,   2256,   2461,   2834,   3033,   3111,   3459,   3767,   4019,   4358,   4515,   4898,   5047,   5203,   5486,   5809,   6004,   6373,   6596,   7004,   7110,   7202,   7533,   7854,   8076, 
/* msg =   1020, deg = 32 */     97,    469,    639,    982,   1218,   1455,   1791,   2009,   2257,   2462,   2835,   3034,   3112,   3460,   3768,   4020,   4359,   4516,   4899,   5048,   5204,   5487,   5810,   6005,   6374,   6597,   7005,   7111,   7203,   7534,   7855,   8077, 
/* msg =   1021, deg = 32 */     98,    470,    640,    983,   1219,   1456,   1792,   2010,   2258,   2463,   2836,   3035,   3113,   3461,   3769,   4021,   4360,   4517,   4900,   5049,   5205,   5488,   5811,   6006,   6375,   6598,   7006,   7112,   7204,   7535,   7856,   8078
};
#endif

